تكلم مع الذكاء الاصطناعي
Deck 2: Limits and the Derivative
ملء الشاشة (f)
سؤال
Find the limit, if it exists.
Find:
A) - 24
B) 8
C) -8
D) 16
Find:
A) - 24
B) 8
C) -8
D) 16
سؤال
Find the limit, if it exists.
Let
A) 5
B) -7
C) -2
D) Does not exist
Let
A) 5
B) -7
C) -2
D) Does not exist
سؤال
Find the limit, if it exists.
Let
A) -∞
B) -4
C) 0
D) Does not exist
Let
A) -∞
B) -4
C) 0
D) Does not exist
سؤال
Find the limit, if it exists.
Given
A)
B)
C)
D)
Given
A)
B)
C)
D)
سؤال
The graph of a function f is given. Use the graph to answer the question.
Use the graph of f given below to find f(8).
A) 8
B) 12
C) 0
D) -16
Use the graph of f given below to find f(8).
A) 8
B) 12
C) 0
D) -16
سؤال
Find the limit, if it exists.
Find:
A)
B)
C) 0
D) Does not exist
Find:
A)
B)
C) 0
D) Does not exist
سؤال
Find the limit, if it exists.
Let
Find 
A)
B) 4
C) -4
D) Does not exist
Let
Find A)
B) 4
C) -4
D) Does not exist
سؤال
Find the limit, if it exists.
Let
A) -4
B) 0
C) 4
D) Does not exist
Let
A) -4
B) 0
C) 4
D) Does not exist
سؤال
Find the limit, if it exists.
Find:
A) 1
B) 0
C) -1
D) Does not exist
Find:
A) 1
B) 0
C) -1
D) Does not exist
سؤال
Find the limit, if it exists.
Find:
A) 0
B) -1
C) 1
D) Does not exist
Find:
A) 0
B) -1
C) 1
D) Does not exist
سؤال
Use the graph to evaluate the indicated limit and function value or state that it does not exist.
Find
A) 6; 0
B) Does not exist; 6
C) 0; does not exist
D) 0; 6
Find
A) 6; 0
B) Does not exist; 6
C) 0; does not exist
D) 0; 6
سؤال
Find the limit, if it exists.
Find:
A)
B) -11
C) 1
D)
Find:
A)
B) -11
C) 1
D)
سؤال
Find the limit, if it exists.
Find:
A) 3
B) 10
C) 2
D) Does not exist
Find:
A) 3
B) 10
C) 2
D) Does not exist
سؤال
Find the limit, if it exists.
Evaluate the following limit
A) 2
B)
C)
D) Does not exist
Evaluate the following limit
A) 2
B)
C)
D) Does not exist
سؤال
Find the limit, if it exists.
Evaluate the following limit.
A) 2
B)
C)
D) Does not exist
Evaluate the following limit.
A) 2
B)
C)
D) Does not exist
سؤال
Find the limit, if it exists.
Given
A)
B)
C)
D)
Given
A)
B)
C)
D)
سؤال
Sketch a possible graph of a function that satisfies the given conditions.
f(0) = 6;
A)
B)
C)
D)
f(0) = 6;
A)
B)
C)
D)
سؤال
Sketch a possible graph of a function that satisfies the given conditions.
f(1) = 4;
A)
B)
C)
D)
f(1) = 4;
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Given that
Express the answer as a simplified fraction.
A)
B)
C)
D)
Given that
Express the answer as a simplified fraction.A)
B)
C)
D)
سؤال
Use the graph to evaluate the indicated limit and function value or state that it does not exist.
Find
A) -1; 5
B) 5; -1
C) 5; Does not exist
D) Does not exist; does not exist
Find
A) -1; 5
B) 5; -1
C) 5; Does not exist
D) Does not exist; does not exist
سؤال
Find the limit.
Determine the limit.
A)
B)
C) -2
D) 5
Determine the limit.
A)
B)
C) -2
D) 5
سؤال
Solve the problem.
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 16
B) 23
C) 7
D) 19
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 16
B) 23
C) 7
D) 19
سؤال
Use -∞ or ∞ where appropriate to describe the behavior at each zero of the denominator and identify all vertical
asymptotes.
A) No zeros of denominator; no vertical asymptotes
B)
is a vertical asymptote
C)
is a vertical asymptote
D)
is a vertical asymptote
asymptotes.
A) No zeros of denominator; no vertical asymptotes
B)
is a vertical asymptoteC)
is a vertical asymptoteD)
is a vertical asymptote سؤال
Use the given graph to find the indicated limit.
A)
B) 3
C) 4
D)
A)
B) 3
C) 4
D)
سؤال
Solve the problem.
A company training program determines that, on average, a new employee can do P(x) pieces of work per day after s days of on-the-job training, where
A) 42
B) 105
C) 30
D) Does not exist
A company training program determines that, on average, a new employee can do P(x) pieces of work per day after s days of on-the-job training, where
A) 42
B) 105
C) 30
D) Does not exist
سؤال
Use the given graph to find the indicated limit.
A)
B)
C) 4
D) 3
A)
B)
C) 4
D) 3
سؤال
Provide an appropriate response.
If the limit at infinity exists, find the limit.
A)
B) 1
C)
D) 0
If the limit at infinity exists, find the limit.
A)
B) 1
C)
D) 0
سؤال
Provide an appropriate response.
Find the vertical asymptote(s) of the graph of the given function.
A) y = -3
B) x = -8
C) x = -6
D) y = 8
Find the vertical asymptote(s) of the graph of the given function.
A) y = -3
B) x = -8
C) x = -6
D) y = 8
سؤال
Provide an appropriate response.
If the limit at infinity exists, find the limit.
A)
B)
C)
D) 0
If the limit at infinity exists, find the limit.
A)
B)
C)
D) 0
سؤال
Use the given graph to find the indicated limit.
A) 0
B)
C)
D) 5
A) 0
B)
C)
D) 5
سؤال
Find the limit.
Determine the limit.
A) 0
B)
C) -1
D)
Determine the limit.
A) 0
B)
C) -1
D)
سؤال
Describe the end behavior of the function.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Solve the problem.
The cost of manufacturing a particular videotape is
where x is the number of tapes produced. The average cost per tape, denoted by 
is found by dividing C(x) by x. 
A) 14
B) 6
C) 10
D) Does not exist
The cost of manufacturing a particular videotape is
where x is the number of tapes produced. The average cost per tape, denoted by is found by dividing C(x) by x. A) 14
B) 6
C) 10
D) Does not exist
سؤال
Use the given graph to find the indicated limit.
A)
B) 3
C)
D) 0
A)
B) 3
C)
D) 0
سؤال
Provide an appropriate response.
Find the horizontal asymptote, if any, of the given function.
A) y = 1
B) x = 2, x = -2
C) y = 3, y = -4
D) None
Find the horizontal asymptote, if any, of the given function.
A) y = 1
B) x = 2, x = -2
C) y = 3, y = -4
D) None
سؤال
Solve the problem.
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 100
B) 30
C) 70
D) 85
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 100
B) 30
C) 70
D) 85
سؤال
Solve the problem.
Suppose that the cost C of removing p% of the pollutants from a chemical dumping site is given by
Can a company afford to remove 100% of the pollutants? Explain.
A) Yes, the cost of removing p% of the pollutants is $400, which is certainly affordable.
B) No, the cost of removing p% of the pollutants is $400, which is a prohibitive amount of money.
C) Yes, the cost of removing p% of the pollutants is $40,000, which is certainly affordable.
D) No, the cost of removing p% of the pollutants increases without bound as p approaches 100.
Suppose that the cost C of removing p% of the pollutants from a chemical dumping site is given by
Can a company afford to remove 100% of the pollutants? Explain.A) Yes, the cost of removing p% of the pollutants is $400, which is certainly affordable.
B) No, the cost of removing p% of the pollutants is $400, which is a prohibitive amount of money.
C) Yes, the cost of removing p% of the pollutants is $40,000, which is certainly affordable.
D) No, the cost of removing p% of the pollutants increases without bound as p approaches 100.
سؤال
Provide an appropriate response.
Find the horizontal asymptote, if any, of the given function.
A) y = 0
B)
C)
D) None
Find the horizontal asymptote, if any, of the given function.
A) y = 0
B)
C)
D) None
سؤال
Use -∞ or ∞ where appropriate to describe the behavior at each zero of the denominator and identify all vertical
asymptotes.
A)
is a vertical asymptote
B)
6 is a vertical asymptote
C)
is a vertical asymptote
D)
is a vertical asymptote
asymptotes.
A)
is a vertical asymptoteB)
6 is a vertical asymptoteC)
is a vertical asymptoteD)
is a vertical asymptote سؤال
Provide an appropriate response.
Find the vertical asymptote(s) of the graph of the given function.
A) x = 9, x = -3
B) x = -9
C) x = 10, x = -10
D) y = 9, y = -3
Find the vertical asymptote(s) of the graph of the given function.
A) x = 9, x = -3
B) x = -9
C) x = 10, x = -10
D) y = 9, y = -3
سؤال
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) 1
C) -1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) 1
C) -1
D) Continuous at all values of x
سؤال
Sketch a possible graph of a function that satisfies the given conditions.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Sketch a possible graph of a function that satisfies the given conditions.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 1
B) 3
C) -1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 1
B) 3
C) -1
D) Continuous at all values of x
سؤال
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
سؤال
Solve the problem.
The cost of renting a snowblower is $20 for the first hour (or any fraction thereof) and $5 for each additional hour (or fraction thereof) up to a maximum rental time of 5 hours. Write a piecewise definition of the cost C(x)
Of renting a snowblower for x hours. Is C(x) continuous at x = 2.5?
A)
B)
C)
D)
The cost of renting a snowblower is $20 for the first hour (or any fraction thereof) and $5 for each additional hour (or fraction thereof) up to a maximum rental time of 5 hours. Write a piecewise definition of the cost C(x)
Of renting a snowblower for x hours. Is C(x) continuous at x = 2.5?
A)
B)
C)
D)
سؤال
Find average rate of change for the function over the given interval.
between x = 4 and x = 8
A) 9
B) 18
C) 14
D) 28
between x = 4 and x = 8A) 9
B) 18
C) 14
D) 28
سؤال
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) -1
C) 1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) -1
C) 1
D) Continuous at all values of x
سؤال
Provide an appropriate response.
Determine where the function
is continuous.
A)
B)
C)
D)
Determine where the function
is continuous.A)
B)
C)
D)
سؤال
Provide an appropriate response.
Solve the inequality and express the answer in interval notation:
A)
B)
C)
D)
Solve the inequality and express the answer in interval notation:
A)
B)
C)
D)
سؤال
The graph of y = f(x) is shown. Use the graph to answer the question.
A) Yes
B) No
A) Yes
B) No
سؤال
The graph of y = f(x) is shown. Use the graph to answer the question.
A) No
B) Yes
A) No
B) Yes
سؤال
The graph of y = f(x) is shown. Use the graph to answer the question.
A) Yes
B) No
A) Yes
B) No
سؤال
Provide an appropriate response.
Determine where the function
is continuous.
A)
B)
C)
D)
Determine where the function
is continuous.A)
B)
C)
D)
سؤال
Find average rate of change for the function over the given interval.
Find the average rate of change for
if x changes from 2 to 8.
A) 7
B)
C)
D) 2
Find the average rate of change for
if x changes from 2 to 8.A) 7
B)
C)
D) 2
سؤال
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Use a graphing utility to approximate the partition numbers of the function to four decimal places:
A)
B)
C)
D)
Use a graphing utility to approximate the partition numbers of the function to four decimal places:
A)
B)
C)
D)
سؤال
Find average rate of change for the function over the given interval.
between x = -9 and x = -4
A)
B) 730
C)
D)
between x = -9 and x = -4A)
B) 730
C)
D)
سؤال
Provide an appropriate response.
Determine the x-values, if any, at which the function is discontinuous.
A) 1
B) -1, 0, 1
C) -1, 1
D) None
Determine the x-values, if any, at which the function is discontinuous.
A) 1
B) -1, 0, 1
C) -1, 1
D) None
سؤال
Find the instantaneous rate of change for the function at the value given.
Find the instantaneous rate of change for the function
A) 6
B) -39
C) -14
D) -41
Find the instantaneous rate of change for the function
A) 6
B) -39
C) -14
D) -41
سؤال
Provide an appropriate response.
Use the four step p
A) 10x + 5h - 3
B)
C) 5h - 3
D) 10x - 3
Use the four step p
A) 10x + 5h - 3
B)
C) 5h - 3
D) 10x - 3
سؤال
List the x-values in the graph at which the function is not differentiable.
A) x = -3, x = 0, x = 3
B) x = -2, x = 0, x = 2
C) x = -2, x = 2
D) x = -3, x = 3
A) x = -3, x = 0, x = 3
B) x = -2, x = 0, x = 2
C) x = -2, x = 2
D) x = -3, x = 3
سؤال
Provide an appropriate response.
Use the four step process to find
for the function 
A)
B)
C)
D)
Use the four step process to find
for the function A)
B)
C)
D)
سؤال
Use the definition 
to find the derivative at x.
A)
B)
C)
D)
to find the derivative at x.A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the slope of the line tangent to the graph of the function at the given value of x.
A) 65
B) -52
C) -50
D) 67
Find the slope of the line tangent to the graph of the function at the given value of x.
A) 65
B) -52
C) -50
D) 67
سؤال
Find average rate of change for the function over the given interval.
Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function
A) 22
B) 11
C) 4
D) 9
Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function
A) 22
B) 11
C) 4
D) 9
سؤال
Solve the problem.
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.
A)
B) 7 - h m/s
C) 12 + h m/s
D) 7 + h m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.A)
B) 7 - h m/s
C) 12 + h m/s
D) 7 + h m/s
سؤال
List the x-values in the graph at which the function is not differentiable.
A) x = 0
B) x = 1
C) x = -1
D) x = 2
A) x = 0
B) x = 1
C) x = -1
D) x = 2
سؤال
Use the definition to find the derivative at x.
A)
B) 6 - 12x
C) -12x
D) 6 - 6x
to find the derivative at x.A)
B) 6 - 12x
C) -12x
D) 6 - 6x
سؤال
Provide an appropriate response.
Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for
A) 55
B) 15
C) -55
D) -15
Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for
A) 55
B) 15
C) -55
D) -15
سؤال
Find the equation of the tangent line to the curve when x has the given value.
Find the equation of the tangent line to the graph of the function at the given value of x.
A)
B)
C) y = - 39x - 80
D) y = 13x - 16
Find the equation of the tangent line to the graph of the function at the given value of x.
A)
B)
C) y = - 39x - 80
D) y = 13x - 16
سؤال
Provide an appropriate response.
Use the four step process to find f'(x) for the function
A)
B)
C)
D)
Use the four step process to find f'(x) for the function
A)
B)
C)
D)
سؤال
Provide an appropriate response.
Find the slope of the graph
at the point (1, 2).
A) -1
B) -2
C) 2
D) 1
Find the slope of the graph
at the point (1, 2).A) -1
B) -2
C) 2
D) 1
سؤال
Find the instantaneous rate of change for the function at the value given.
Find the instantaneous rate of change for the function
A) 120
B) 15
C) 23
D) 16
Find the instantaneous rate of change for the function
A) 120
B) 15
C) 23
D) 16
سؤال
Solve the problem.
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the instantaneous velocity at x = 4 seconds.
A) 9 m/s
B) 10 m/s
C) 8 m/s
D) 20 m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the instantaneous velocity at x = 4 seconds.A) 9 m/s
B) 10 m/s
C) 8 m/s
D) 20 m/s
سؤال
Provide an appropriate response.
, find the slope of the tangent line at x = 4.
A) 20
B) 16
C) 8
D) 22
, find the slope of the tangent line at x = 4.A) 20
B) 16
C) 8
D) 22
سؤال
Solve the problem.
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to
9 seconds.
A) 12 m/s
B) 3 m/s
C) 15 m/s
D) 84 m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to9 seconds.
A) 12 m/s
B) 3 m/s
C) 15 m/s
D) 84 m/s
سؤال
Find the equation of the tangent line to the curve when x has the given value.
A) y = 14x - 46
B) y = -14x + 46
C) y = 7x + 46
D) y = -2x
A) y = 14x - 46
B) y = -14x + 46
C) y = 7x + 46
D) y = -2x
سؤال
Use the definition to find the derivative at x.
f(x) = 13x - 12
A) 13x
B) 1
C) 13
D) -13
to find the derivative at x.f(x) = 13x - 12
A) 13x
B) 1
C) 13
D) -13
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العب
ملء الشاشة (f)
Deck 2: Limits and the Derivative
1
Find the limit, if it exists.
Find:
A) - 24
B) 8
C) -8
D) 16
Find:
A) - 24
B) 8
C) -8
D) 16
-8
2
Find the limit, if it exists.
Let
A) 5
B) -7
C) -2
D) Does not exist
Let
A) 5
B) -7
C) -2
D) Does not exist
-7
3
Find the limit, if it exists.
Let
A) -∞
B) -4
C) 0
D) Does not exist
Let
A) -∞
B) -4
C) 0
D) Does not exist
Does not exist
4
Find the limit, if it exists.
Given
A)
B)
C)
D)
Given
A)
B)
C)
D)
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5
The graph of a function f is given. Use the graph to answer the question.
Use the graph of f given below to find f(8).
A) 8
B) 12
C) 0
D) -16
Use the graph of f given below to find f(8).
A) 8
B) 12
C) 0
D) -16
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6
Find the limit, if it exists.
Find:
A)
B)
C) 0
D) Does not exist
Find:
A)
B)
C) 0
D) Does not exist
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7
Find the limit, if it exists.
Let Find
A)
B) 4
C) -4
D) Does not exist
Let
Find A)
B) 4
C) -4
D) Does not exist
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8
Find the limit, if it exists.
Let
A) -4
B) 0
C) 4
D) Does not exist
Let
A) -4
B) 0
C) 4
D) Does not exist
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فتح الحزمة
k this deck
9
Find the limit, if it exists.
Find:
A) 1
B) 0
C) -1
D) Does not exist
Find:
A) 1
B) 0
C) -1
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
10
Find the limit, if it exists.
Find:
A) 0
B) -1
C) 1
D) Does not exist
Find:
A) 0
B) -1
C) 1
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use the graph to evaluate the indicated limit and function value or state that it does not exist.
Find
A) 6; 0
B) Does not exist; 6
C) 0; does not exist
D) 0; 6
Find
A) 6; 0
B) Does not exist; 6
C) 0; does not exist
D) 0; 6
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
12
Find the limit, if it exists.
Find:
A)
B) -11
C) 1
D)
Find:
A)
B) -11
C) 1
D)
فتح الحزمة
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فتح الحزمة
k this deck
13
Find the limit, if it exists.
Find:
A) 3
B) 10
C) 2
D) Does not exist
Find:
A) 3
B) 10
C) 2
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
14
Find the limit, if it exists.
Evaluate the following limit
A) 2
B)
C)
D) Does not exist
Evaluate the following limit
A) 2
B)
C)
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
15
Find the limit, if it exists.
Evaluate the following limit.
A) 2
B)
C)
D) Does not exist
Evaluate the following limit.
A) 2
B)
C)
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
16
Find the limit, if it exists.
Given
A)
B)
C)
D)
Given
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
17
Sketch a possible graph of a function that satisfies the given conditions.
f(0) = 6;
A)
B)
C)
D)
f(0) = 6;
A)
B)
C)
D)
فتح الحزمة
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فتح الحزمة
k this deck
18
Sketch a possible graph of a function that satisfies the given conditions.
f(1) = 4;
A)
B)
C)
D)
f(1) = 4;
A)
B)
C)
D)
فتح الحزمة
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فتح الحزمة
k this deck
19
Provide an appropriate response.
Given that Express the answer as a simplified fraction.
A)
B)
C)
D)
Given that
Express the answer as a simplified fraction.A)
B)
C)
D)
فتح الحزمة
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فتح الحزمة
k this deck
20
Use the graph to evaluate the indicated limit and function value or state that it does not exist.
Find
A) -1; 5
B) 5; -1
C) 5; Does not exist
D) Does not exist; does not exist
Find
A) -1; 5
B) 5; -1
C) 5; Does not exist
D) Does not exist; does not exist
فتح الحزمة
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k this deck
21
Find the limit.
Determine the limit.
A)
B)
C) -2
D) 5
Determine the limit.
A)
B)
C) -2
D) 5
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
22
Solve the problem.
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 16
B) 23
C) 7
D) 19
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 16
B) 23
C) 7
D) 19
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
23
Use -∞ or ∞ where appropriate to describe the behavior at each zero of the denominator and identify all vertical
asymptotes.
A) No zeros of denominator; no vertical asymptotes
B) is a vertical asymptote
C) is a vertical asymptote
D) is a vertical asymptote
asymptotes.
A) No zeros of denominator; no vertical asymptotes
B)
is a vertical asymptoteC)
is a vertical asymptoteD)
is a vertical asymptote فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
24
Use the given graph to find the indicated limit.
A)
B) 3
C) 4
D)
A)
B) 3
C) 4
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
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k this deck
25
Solve the problem.
A company training program determines that, on average, a new employee can do P(x) pieces of work per day after s days of on-the-job training, where
A) 42
B) 105
C) 30
D) Does not exist
A company training program determines that, on average, a new employee can do P(x) pieces of work per day after s days of on-the-job training, where
A) 42
B) 105
C) 30
D) Does not exist
فتح الحزمة
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فتح الحزمة
k this deck
26
Use the given graph to find the indicated limit.
A)
B)
C) 4
D) 3
A)
B)
C) 4
D) 3
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
27
Provide an appropriate response.
If the limit at infinity exists, find the limit.
A)
B) 1
C)
D) 0
If the limit at infinity exists, find the limit.
A)
B) 1
C)
D) 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
28
Provide an appropriate response.
Find the vertical asymptote(s) of the graph of the given function.
A) y = -3
B) x = -8
C) x = -6
D) y = 8
Find the vertical asymptote(s) of the graph of the given function.
A) y = -3
B) x = -8
C) x = -6
D) y = 8
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
29
Provide an appropriate response.
If the limit at infinity exists, find the limit.
A)
B)
C)
D) 0
If the limit at infinity exists, find the limit.
A)
B)
C)
D) 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
30
Use the given graph to find the indicated limit.
A) 0
B)
C)
D) 5
A) 0
B)
C)
D) 5
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
31
Find the limit.
Determine the limit.
A) 0
B)
C) -1
D)
Determine the limit.
A) 0
B)
C) -1
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
32
Describe the end behavior of the function.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
33
Solve the problem.
The cost of manufacturing a particular videotape is where x is the number of tapes produced. The average cost per tape, denoted by is found by dividing C(x) by x.
A) 14
B) 6
C) 10
D) Does not exist
The cost of manufacturing a particular videotape is
where x is the number of tapes produced. The average cost per tape, denoted by is found by dividing C(x) by x. A) 14
B) 6
C) 10
D) Does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
34
Use the given graph to find the indicated limit.
A)
B) 3
C)
D) 0
A)
B) 3
C)
D) 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
35
Provide an appropriate response.
Find the horizontal asymptote, if any, of the given function.
A) y = 1
B) x = 2, x = -2
C) y = 3, y = -4
D) None
Find the horizontal asymptote, if any, of the given function.
A) y = 1
B) x = 2, x = -2
C) y = 3, y = -4
D) None
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
36
Solve the problem.
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 100
B) 30
C) 70
D) 85
Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 100
B) 30
C) 70
D) 85
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
37
Solve the problem.
Suppose that the cost C of removing p% of the pollutants from a chemical dumping site is given by Can a company afford to remove 100% of the pollutants? Explain.
A) Yes, the cost of removing p% of the pollutants is $400, which is certainly affordable.
B) No, the cost of removing p% of the pollutants is $400, which is a prohibitive amount of money.
C) Yes, the cost of removing p% of the pollutants is $40,000, which is certainly affordable.
D) No, the cost of removing p% of the pollutants increases without bound as p approaches 100.
Suppose that the cost C of removing p% of the pollutants from a chemical dumping site is given by
Can a company afford to remove 100% of the pollutants? Explain.A) Yes, the cost of removing p% of the pollutants is $400, which is certainly affordable.
B) No, the cost of removing p% of the pollutants is $400, which is a prohibitive amount of money.
C) Yes, the cost of removing p% of the pollutants is $40,000, which is certainly affordable.
D) No, the cost of removing p% of the pollutants increases without bound as p approaches 100.
فتح الحزمة
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فتح الحزمة
k this deck
38
Provide an appropriate response.
Find the horizontal asymptote, if any, of the given function.
A) y = 0
B)
C)
D) None
Find the horizontal asymptote, if any, of the given function.
A) y = 0
B)
C)
D) None
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
39
Use -∞ or ∞ where appropriate to describe the behavior at each zero of the denominator and identify all vertical
asymptotes.
A) is a vertical asymptote
B) 6 is a vertical asymptote
C) is a vertical asymptote
D) is a vertical asymptote
asymptotes.
A)
is a vertical asymptoteB)
6 is a vertical asymptoteC)
is a vertical asymptoteD)
is a vertical asymptote فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
40
Provide an appropriate response.
Find the vertical asymptote(s) of the graph of the given function.
A) x = 9, x = -3
B) x = -9
C) x = 10, x = -10
D) y = 9, y = -3
Find the vertical asymptote(s) of the graph of the given function.
A) x = 9, x = -3
B) x = -9
C) x = 10, x = -10
D) y = 9, y = -3
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
41
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
42
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) 1
C) -1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) 1
C) -1
D) Continuous at all values of x
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
43
Sketch a possible graph of a function that satisfies the given conditions.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
44
Sketch a possible graph of a function that satisfies the given conditions.
A)
B)
C)
D)
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
45
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 1
B) 3
C) -1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 1
B) 3
C) -1
D) Continuous at all values of x
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
46
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
47
Solve the problem.
The cost of renting a snowblower is $20 for the first hour (or any fraction thereof) and $5 for each additional hour (or fraction thereof) up to a maximum rental time of 5 hours. Write a piecewise definition of the cost C(x)
Of renting a snowblower for x hours. Is C(x) continuous at x = 2.5?
A)
B)
C)
D)
The cost of renting a snowblower is $20 for the first hour (or any fraction thereof) and $5 for each additional hour (or fraction thereof) up to a maximum rental time of 5 hours. Write a piecewise definition of the cost C(x)
Of renting a snowblower for x hours. Is C(x) continuous at x = 2.5?
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
48
Find average rate of change for the function over the given interval.
between x = 4 and x = 8
A) 9
B) 18
C) 14
D) 28
between x = 4 and x = 8A) 9
B) 18
C) 14
D) 28
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
49
Provide an appropriate response.
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) -1
C) 1
D) Continuous at all values of x
Use a graphing utility to find the discontinuities of the given rational function.
A) 3
B) -1
C) 1
D) Continuous at all values of x
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
50
Provide an appropriate response.
Determine where the function is continuous.
A)
B)
C)
D)
Determine where the function
is continuous.A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
51
Provide an appropriate response.
Solve the inequality and express the answer in interval notation:
A)
B)
C)
D)
Solve the inequality and express the answer in interval notation:
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
52
The graph of y = f(x) is shown. Use the graph to answer the question.
A) Yes
B) No
A) Yes
B) No
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
53
The graph of y = f(x) is shown. Use the graph to answer the question.
A) No
B) Yes
A) No
B) Yes
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
54
The graph of y = f(x) is shown. Use the graph to answer the question.
A) Yes
B) No
A) Yes
B) No
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
55
Provide an appropriate response.
Determine where the function is continuous.
A)
B)
C)
D)
Determine where the function
is continuous.A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
56
Find average rate of change for the function over the given interval.
Find the average rate of change for if x changes from 2 to 8.
A) 7
B)
C)
D) 2
Find the average rate of change for
if x changes from 2 to 8.A) 7
B)
C)
D) 2
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
57
Provide an appropriate response.
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
Use a sign chart to solve the inequality. Express answers in interval notation.
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
58
Provide an appropriate response.
Use a graphing utility to approximate the partition numbers of the function to four decimal places:
A)
B)
C)
D)
Use a graphing utility to approximate the partition numbers of the function to four decimal places:
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
59
Find average rate of change for the function over the given interval.
between x = -9 and x = -4
A)
B) 730
C)
D)
between x = -9 and x = -4A)
B) 730
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
60
Provide an appropriate response.
Determine the x-values, if any, at which the function is discontinuous.
A) 1
B) -1, 0, 1
C) -1, 1
D) None
Determine the x-values, if any, at which the function is discontinuous.
A) 1
B) -1, 0, 1
C) -1, 1
D) None
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
61
Find the instantaneous rate of change for the function at the value given.
Find the instantaneous rate of change for the function
A) 6
B) -39
C) -14
D) -41
Find the instantaneous rate of change for the function
A) 6
B) -39
C) -14
D) -41
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
k this deck
62
Provide an appropriate response.
Use the four step p
A) 10x + 5h - 3
B)
C) 5h - 3
D) 10x - 3
Use the four step p
A) 10x + 5h - 3
B)
C) 5h - 3
D) 10x - 3
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 123 في هذه المجموعة.
فتح الحزمة
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63
List the x-values in the graph at which the function is not differentiable.
A) x = -3, x = 0, x = 3
B) x = -2, x = 0, x = 2
C) x = -2, x = 2
D) x = -3, x = 3
A) x = -3, x = 0, x = 3
B) x = -2, x = 0, x = 2
C) x = -2, x = 2
D) x = -3, x = 3
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64
Provide an appropriate response.
Use the four step process to find for the function
A)
B)
C)
D)
Use the four step process to find
for the function A)
B)
C)
D)
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65
Use the definition to find the derivative at x.
A)
B)
C)
D)
to find the derivative at x.A)
B)
C)
D)
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66
Provide an appropriate response.
Find the slope of the line tangent to the graph of the function at the given value of x.
A) 65
B) -52
C) -50
D) 67
Find the slope of the line tangent to the graph of the function at the given value of x.
A) 65
B) -52
C) -50
D) 67
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67
Find average rate of change for the function over the given interval.
Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function
A) 22
B) 11
C) 4
D) 9
Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function
A) 22
B) 11
C) 4
D) 9
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68
Solve the problem.
Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.
A)
B) 7 - h m/s
C) 12 + h m/s
D) 7 + h m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity for x changing from 3 to 3 + h seconds.A)
B) 7 - h m/s
C) 12 + h m/s
D) 7 + h m/s
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69
List the x-values in the graph at which the function is not differentiable.
A) x = 0
B) x = 1
C) x = -1
D) x = 2
A) x = 0
B) x = 1
C) x = -1
D) x = 2
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70
Use the definition to find the derivative at x.
A)
B) 6 - 12x
C) -12x
D) 6 - 6x
to find the derivative at x.A)
B) 6 - 12x
C) -12x
D) 6 - 6x
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71
Provide an appropriate response.
Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for
A) 55
B) 15
C) -55
D) -15
Find the slope of the secant line joining (2, f(2)) and (3, f(3)) for
A) 55
B) 15
C) -55
D) -15
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72
Find the equation of the tangent line to the curve when x has the given value.
Find the equation of the tangent line to the graph of the function at the given value of x.
A)
B)
C) y = - 39x - 80
D) y = 13x - 16
Find the equation of the tangent line to the graph of the function at the given value of x.
A)
B)
C) y = - 39x - 80
D) y = 13x - 16
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73
Provide an appropriate response.
Use the four step process to find f'(x) for the function
A)
B)
C)
D)
Use the four step process to find f'(x) for the function
A)
B)
C)
D)
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74
Provide an appropriate response.
Find the slope of the graph at the point (1, 2).
A) -1
B) -2
C) 2
D) 1
Find the slope of the graph
at the point (1, 2).A) -1
B) -2
C) 2
D) 1
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75
Find the instantaneous rate of change for the function at the value given.
Find the instantaneous rate of change for the function
A) 120
B) 15
C) 23
D) 16
Find the instantaneous rate of change for the function
A) 120
B) 15
C) 23
D) 16
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76
Solve the problem.
Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the instantaneous velocity at x = 4 seconds.
A) 9 m/s
B) 10 m/s
C) 8 m/s
D) 20 m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the instantaneous velocity at x = 4 seconds.A) 9 m/s
B) 10 m/s
C) 8 m/s
D) 20 m/s
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77
Provide an appropriate response.
, find the slope of the tangent line at x = 4.
A) 20
B) 16
C) 8
D) 22
, find the slope of the tangent line at x = 4.A) 20
B) 16
C) 8
D) 22
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78
Solve the problem.
Suppose an object moves along the y-axis so that its location is at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to
9 seconds.
A) 12 m/s
B) 3 m/s
C) 15 m/s
D) 84 m/s
Suppose an object moves along the y-axis so that its location is
at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to9 seconds.
A) 12 m/s
B) 3 m/s
C) 15 m/s
D) 84 m/s
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79
Find the equation of the tangent line to the curve when x has the given value.
A) y = 14x - 46
B) y = -14x + 46
C) y = 7x + 46
D) y = -2x
A) y = 14x - 46
B) y = -14x + 46
C) y = 7x + 46
D) y = -2x
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80
Use the definition to find the derivative at x.
f(x) = 13x - 12
A) 13x
B) 1
C) 13
D) -13
to find the derivative at x.f(x) = 13x - 12
A) 13x
B) 1
C) 13
D) -13
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