Deck 17: Preparation for Calculus

Question 1

Find all intercepts:

A)x-intercepts: (,0), (,0); y-intercepts: (0, ), (0, 3)
B)x-intercept: (12, 0); y-intercepts: (0, ), (0, 3)
C)x-intercepts: (4, 0), (-3,0); y-intercept: (0,
D)x-intercepts: (, 0), (,0); y-intercepts: (0, -12), (0, 12)
E)x-intercept: y-intercept: (0, -12)

Answer 1

x-intercepts: (4, 0), (-3,0); y-intercept: (0,

Question 2

If a line has slope and passes through the point through which of the following points does the line also pass?

A)
B)
C)
D)
E)

Answer 2

Question 3

Find the slope of the line passing through the pair of points.

A)
B)
C)
D)0
E)

Answer 3

Question 4

Test for symmetry with respect to each axis and to the origin.

A)symmetric with respect to the origin
B)symmetric with respect to the y-axis
C)symmetric with respect to the x-axis
D)both B and C
E)no symmetry

Question 5

Sketch the graph of the equation:

A)
B)
C)
D)
E)none of the above

Question 6

Find all intercepts:

A)x-intercepts: (0,0), (5,0), (-5,0); y-intercept: (0, -25)
B)x-intercepts: (0,0), (5,0); y-intercept: (0, 0)
C)x-intercepts: (0,0), (5,0), (-5,0); y-intercept: (0, 0)
D)x-intercepts: (0,0), (5,0); y-intercept: (0, 5)
E)x-intercepts: (0,0), (5,0), (25,0); y-intercept: (0, 0)

Question 7

Estimate the slope of the line from the graph.

A)3
B)
C)
D)
E)6

Question 8

Sketch the line passing through the point (3, 4) with the slope

A)
B)
C)
D)
E)

Question 9

Test for symmetry with respect to each axis and to the origin.

A)symmetric with respect to the origin
B)symmetric with respect to the x-axis
C)symmetric with respect to the y-axis
D)no symmetry
E)A, B, and C

Question 10

Find the points of intersection of the graphs of the equations:

A)
B)
C)
D)
E)

Question 11

Find all intercepts:

A)x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercepts: (0, 0), (0, 10)
B)x-intercepts: (-5, 0), (2, 0); y-intercept: (0, 10)
C)x-intercepts: (-5, 0), (2, 0); y-intercept: (0, -10)
D)x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercept: (0, 10)
E)x-intercepts: (-5, 0), (-2, 0), (2, 0); y-intercept: (0, -10)

Question 12

Sketch the graph of the equation:

A)
B)
C)
D)
E)none of the above

Question 13

Test for symmetry with respect to each axis and to the origin.

A)symmetric with respect to the origin
B)symmetric with respect to the x-axis
C)symmetric with respect to the y-axis
D)no symmetry
E)A, B, and C

Question 14

Which of the following is the correct graph of

A)
B)
C)
D)
E)

Question 15

The resistance y in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in
Mils (0.001 in).Use a graphing utility to graph the model

A)
B)
C)
D)
E)

Question 16

Which of the following is the correct graph of

A)
B)
C)
D)
E)

Question 17

The resistance in ohms of 1000 feet of solid metal wire at can be approximated by the model where x is the diameter of the wire in
Mils If the diameter of the wire is doubled, the resistance is changed by approximately
What factor? In determining your answer, you can ignore the constant -0.46.

A)
B)
C)
D)
E)

Question 18

Test for symmetry with respect to each axis and to the origin.

A)symmetric with respect to the origin
B)symmetric with respect to the y-axis
C)symmetric with respect to the x-axis
D)both B and C
E)no symmetry

Question 19

Find the slope of the line passing through the points

A)63
B)-21
C)42
D)21
E)-42

Question 20

Sketch the graph of the equation:

A)
B)
C)
D)
E)

Question 21

Find an equation of the line that passes through the points

A)
B)
C)
D)
E)

Question 22

Find an equation of the line that passes through the point and has the slope

A)
B)
C)
D)
E)

Question 23

A company reimburses its sales representatives per day for lodging and meals plus per mile driven.Write a linear equation giving the daily cost to the company in terms of the number of miles driven.Round the numerical values in your answer to two decimal places, where
Applicable.

A)
B)
C)
D)
E)

Question 24

Suppose that the dollar value of a product in and the rate at which the value of the product is expected to increase per year during the next years is Write a linear
Equation that gives the dollar value of the product in terms of the year Round the numerical values in your answer to one decimal place, where applicable.

A)
B)
C)
D)
E)

Question 25

Sketch a graph of the equation

A)
B)
C)
D)
E)

Question 26

Write an equation of the line that passes through the point and is parallel to the line

A)
B)
C)
D)
E)

Question 27

Find an equation of the line that passes through the point and has the slope m that is undefined.

A)
B)
C)
D)
E)

Question 28

A moving conveyor is built to rise 5 meters for every meters of horizontal change. Find the slope of the conveyor.

A)0
B)
C)
D)
E)

Question 29

Write an equation of the line that passes through the point and is perpendicular to the line

A)
B)
C)
D)
E)

Question 30

Find the y-intercept of the line

A)
B)
C)
D)
E)

Question 31

A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the
Vertical distance between floors is 10 meters.Round your answer to the nearest meter.

A)61 meters
B)39 meters
C)51 meters
D)50 meters
E)41 meters

Question 32

A real estate office handles an apartment complex with units.When the rent is per month, all units are occupied.However, when the rent is the average number of occupied units drops to Assume that the relationship between the monthly rent and the demand
Is linear.Write a linear equation giving the demand in terms of the rent

A)
B)
C)
D)
E)

Question 33

A real estate office handles an apartment complex with units.When the rent is per month, all units are occupied.However, when the rent is the average number of occupied units drops to Assume that the relationship between the monthly rent and the demand is linear.Predict the number of units occupied if the rent is raised to

A)43 units
B)54 units
C)57 units
D)49 units
E)46 units

Question 34

A company reimburses its sales representatives per day for lodging and meals plus per mile driven.How much does it cost the company if a sales representative drives miles on a given day? Round your answer to the nearest cent.

A)227.20
B)216.70
C)136.35
D)161.35
E)191.70

Question 35

Write an equation of the line that passes through the given point and is parallel to the given line.

A)
B)
C)
D)
E)

Question 36

Write an equation of the line that passes through the given point and is perpendicular to the given line.

A)
B)
C)
D)
E)

Question 37

Find the slope of the line

A)
B)
C)
D)
E)

Question 38

Use the result, "the line with intercepts has the equation to write an equation of the line with x-intercept: and y-intercept:

A)
B)
C)
D)
E)

Question 39

Find the distance between the point and line using the formula, for the distance between the point and the line

A)
B)
C)
D)
E)

Question 40

Find an equation of the line that passes through the points and

A)
B)
C)
D)
E)

Question 41

Let Then simplify the expression

A)
B)
C)
D)
E)undefined

Question 42

Use the graph of given below to find the graph of the function

A)
B)
C)
D)
E)

Question 43

Given evaluate

A)
B)
C)
D)
E)

Question 44

Determine whether the function is even, odd, or neither.

A)even
B)odd
C)neither

Question 45

Determine whether the function is even, odd, or neither.

A)odd
B)even
C)neither

Question 46

Find the domain and range of the function

A)domain: range:
B)domain: range:
C)domain: range:
D)domain: range:
E)domain: range:

Question 47

Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even.

A)
B)
C)
D)
E)

Question 48

Determine the domain and range of the function

A)domain: range:
B)domain: range:
C)domain: range:
D)domain: range:
E)domain: range:

Question 49

Evaluate (if possible) the function Simplify the result.

A)-7
B)17
C)3
D)7
E)undefined

Question 50

Determine whether y is a function of x.

A)no
B)yes

Question 51

Evaluate (if possible) the function Simplify the result.

A)
B)
C)
D)
E)none of the above

Question 52

Find the domain and range of the function

A)domain: range:
B)domain: range:
C)domain: range:
D)domain: range:
E)none of the above

Question 53

Evaluate the function

A)
B)
C)
D)
E)

Question 54

Evaluate (if possible) the function Simplify the result.

A)
B)
C)
D)
E)

Question 55

Use the graph of given below to find the graph of the function

A)
B)
C)
D)
E)

Question 56

Determine whether y is a function of x.

A)no
B)yes

Question 57

Find the domain and range of the function

A)domain: range:
B)domain: range:
C)domain: range:
D)domain: range:
E)domain: range:

Question 58

Let Evaluate the expression and then simplify the result.

A)
B)
C)
D)
E)undefined