Question 1

Find all real values of x such that f (x) = 0. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 2

Which equation does not represent y as a function of x? A)9y = 6 B)-2x = y C)-4x + y = -8 D)-9x² + 8y = 4 E)-2y² - 6x = 1

Accepted Answer

In option E, the equation involves y squared, which means for some values of x, there could be two corresponding values of y, violating the definition of a function.

Question 3

Find the zeroes of the functions algebraically. 
A)x = 7, x = -8, 
B)x = 7, x = -8
C) 
D)x = -7, x = 8
E)x = -7, x = 8,

Accepted Answer

D

Question 4

Find the domain of the function. 
A)-9 $\le$ t $\le$9
B)t $\le$-9 or t $\ge$ 9
C)t $\ge$ 0
D)t $\le$ 9
E)all real numbers

Accepted Answer

The answer of Find the domain of the function. 
A)-9...

Question 5

Use the graph of the function to find the domain and range of f. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the graph of the function to...

Question 6

Use a graphing utility to graph the function and find the zeroes of the function. 
A) 
B) 
C) 
D) 
E)no real zeroes

Accepted Answer

The answer of Use a graphing utility to graph the...

Question 7

Find all real values of x such that f (x) = 0. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find all real values of x such...

Question 8

A rectangle is bounded by the x-axis and the semicircle  (see figure). Write the area A of the rectangle as a function of x and determine the domain of the function.   -5 5
A)  , -5 $\le$ x $\le$ 5
B)  , x $\ge$0
C)  , -5 $\le$x $\le$5
D)  , all real numbers
E)  , x $\ge$0

Accepted Answer

The answer of A rectangle is bounded by the x-axis...

Question 9

Find the zeroes of the functions algebraically. 
A) 
B) 
C) 
D) 
E)no real zeroes

Accepted Answer

The answer of Find the zeroes of the functions algebraically....

Question 10

Find the value(s) of x for which f (x) = g (x).f (x) = x² - 4x - 31 g (x) = -3x - 1 A)-31, -27, B)-31, -4, C)6, -5 D)-6, 5 E)35,

Accepted Answer

The answer of Find the value(s) of x for which...

Question 11

Find the domain of the function. 
A)all real numbers 
B)all real numbers  , 
C)all real numbers
D)s = -1, s = 0
E)s = -1

Accepted Answer

The question does not provide a function to determine the domain, so we assume that the function is defined for all real numbers unless there is some additional information given that restricts the domain. Therefore, the domain is all real numbers (option A).

Question 12

Does the table describe a function? 
A)yes
B)no

Accepted Answer

The table has input values (x-values) and corresponding output values (y-values) that pass the vertical line test, indicating that each input maps to only one output, thus satisfying the definition of a function.

Question 13

Does the table describe a function? 
A)yes
B)no

Accepted Answer

The answer of Does the table describe a function? 
A)yes
B)no...

Question 14

Evaluate the function at the specified value of the independent variable and simplify.  
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the function at the specified value...

Question 15

Does the table describe a function? 
A)yes
B)no

Accepted Answer

The table has a unique output for each input, which is the definition of a function. Therefore, the answer is yes.

Question 16

Find the difference quotient and simplify your answer.f (x) = 8x² - 7x, , h $\neq$ 0 A)1 + h B) C) D)-7 + 8h E)57 + 8h

Accepted Answer

The answer of Find the difference quotient and simplify your...

Question 17

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}
A){(2, -5), (4, -3), (4, -1), (6, -3), (8, -5)}
B){(6, -5), (6, -3), (6, -1)}
C){(6, -3), (4, -5), (2, -3), (4, -1), (6, -5)}
D){(4, -3), (6, -1), (8, -3)}
E){(2, -1), (6, -3), (2, -5), (6, -1)}

Accepted Answer

For a set of ordered pairs to represent a function, each element from the domain (P) must map to a unique element in the range (Q). Option D is the only choice where each element in P is mapped to a unique element in Q.

Question 18

Evaluate the function at the specified value of the independent variable and simplify.  f (w - 5)
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Evaluate the function at the specified value...

Question 19

Does the table describe a function? 
A)no
B)yes

Accepted Answer

The answer of Does the table describe a function? 
A)no
B)yes...

Question 20

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)
A)-14.4t + 9
B)-13.4
C)-15.4
D)1.6t - 1
E)1.6t + 1

Accepted Answer

The answer of Evaluate the function at the specified value...

Quiz 2: Functions and Their Graphs

Find all real values of x such that f (x) = 0.

Which equation does not represent y as a function of x?

Find the zeroes of the functions algebraically.

Find the domain of the function. $Find the domain of the function. A) -9 \le t \le 9 B) t \le -9 or t \ge 9 C) t \ge 0 D) t \le 9 E) all real numbers$

Use the graph of the function to find the domain and range of f.

Use a graphing utility to graph the function and find the zeroes of the function.

Find all real values of x such that f (x) = 0.

Find the zeroes of the functions algebraically.

Find the value(s) of x for which f (x) = g (x) .f (x) = x² - 4x - 31 g (x) = -3x - 1

Find the domain of the function.

Does the table describe a function?

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.

Does the table describe a function?

Find the difference quotient and simplify your answer.f (x) = 8x² - 7x, $Find the difference quotient and simplify your answer.f (x) = 8x<sup>2</sup> - 7x, , h \neq 0 A) 1 + h B) C) D) -7 + 8h E) 57 + 8h$ , h $\neq$ 0

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}

Evaluate the function at the specified value of the independent variable and simplify. f (w - 5)

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)

Quiz 2: Functions and Their Graphs

Find all real values of x such that f (x) = 0.

Which equation does not represent y as a function of x?

Find the zeroes of the functions algebraically.

Find the domain of the function.

Use the graph of the function to find the domain and range of f.

Use a graphing utility to graph the function and find the zeroes of the function.

Find all real values of x such that f (x) = 0.

A rectangle is bounded by the x-axis and the semicircle (see figure) . Write the area A of the rectangle as a function of x and determine the domain of the function. -5 5

Find the zeroes of the functions algebraically.

Find the value(s) of x for which f (x) = g (x) .f (x) = x2 - 4x - 31 g (x) = -3x - 1

Find the domain of the function.

Does the table describe a function?

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.

Does the table describe a function?

Find the difference quotient and simplify your answer.f (x) = 8x2 - 7x, , h ≠\neq= 0

Which set of ordered pairs represents a function from P to Q?P = {2, 4, 6, 8} Q = {-5, -3, -1}

Evaluate the function at the specified value of the independent variable and simplify. f (w - 5)

Does the table describe a function?

Evaluate the function at the specified value of the independent variable and simplify.q (t) = -9t - 1q (1.6)

Find the domain of the function. $Find the domain of the function. A) -9 \le t \le 9 B) t \le -9 or t \ge 9 C) t \ge 0 D) t \le 9 E) all real numbers$

Find the value(s) of x for which f (x) = g (x) .f (x) = x² - 4x - 31 g (x) = -3x - 1

Find the difference quotient and simplify your answer.f (x) = 8x² - 7x, $Find the difference quotient and simplify your answer.f (x) = 8x<sup>2</sup> - 7x, , h \neq 0 A) 1 + h B) C) D) -7 + 8h E) 57 + 8h$ , h $\neq$ 0