Deck 1: Functions and Their Graphs

Question 1

Use the graph of to write an equation for the function whose graph is shown.

Answer 1

E

Question 2

How far will a force of 60 newtons str et

Answer 2

C

Question 3

Select the graph of the function

Answer 3

B

Question 4

Find the inverse function of

Question 5

Find the inverse function of f informally.

Question 6

Select the correct graph of the given function.

Question 7

Question 8

Find gof and the domain of composite function.

Question 9

Evaluate the function

Question 10

Use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts

Question 11

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 and odd.

Question 12

The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $2000 and a 30% discount.
Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the
Factory.

Question 13

Find the zeros of the function algebraically.

Question 14

Approximate the coordinates of the points.

Question 15

Find the difference quotient and simplify your answer.

Question 16

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts.

Question 17

Question 18

Show that the points form the vertices of the indicated polygon. Right triangle:

Question 19

Evaluate the function for the indicated values.

Question 20

Find the x- and y-intercepts of the graph of the equation

Question 21

Select the graph of the function

Question 22

Evaluate the function for the indicated values.

Question 23

Use the graph of to write an equation for the function whose graph is shown.

Question 24

Question 25

Approximate the coordinates of the points.

Question 26

Find the zeros of the function algebraically.

Question 27

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 and odd.

Question 28

Find the inverse function of

Question 29

Find the x- and y-intercepts of the graph of the equation

Question 30

Find gof and the domain of composite function.

Question 31

Find the inverse function of f informally.

Question 32

Use a graphing utility to graph the equation. Use a standard setting. Approximate any intercepts.

Question 33

Find the difference quotient and simplify your answer.

Question 34

Use the intercept form to find the equation of the line with the given intercepts. The intercept form of the equation of a line with intercepts

Question 35

The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $3000 and a 30% discount.
Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the
Factory.

Question 36

is related to the parent function. Identify the parent function . e. None of the above

Question 37

Show that the points form the vertices of the indicated polygon.

Question 38

After determining whether the variation model below is of the form

Question 39

Select the correct graph of the given function.

Question 40

Question 41

Question 42

Select the correct graph of the given function.

Question 43

Write the standard form of the equation of the circle with the given characteristics.

Question 44

Evaluate the function

A) 0
B) -1
C) 1
D) -2
E) -2

Question 45

Select the graph of the given function and determine the interval(s) for which

Question 46

Select the correct graph of the given function.

Question 47

Select the correct graph, showing f and g are inverse functions.

Question 48

Find ( f / g )(x).

Question 49

Select the graph of the function.

Question 50

Question 51

The slope of line representing daily revenues y in terms of time x in years. Use the slopes to interpret any change in daily revenues for a one-day increase in time.
The line has a slope of

A) Sales decreasing 600 units/day
B) No change in sales
C) Sales increasing 600 units/day
D) None of the above

Question 52

Graphically estimate the x- and y-intercepts of the graph.

Question 53

Plot the points in the Cartesian plane.

Question 54

Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph.

Question 55

After determining whether the variation model below is of the form ind the value of k.

Question 56

Find the domain of the function.

Question 57

Determine whether the function has an inverse function. If it does, find the inverse function.

Question 58

Find the average rate of change of the function from

Question 59

How far will a force of 110 newtons s tret

Question 60

Show that the points form the vertices of the indicated polygon.

Question 61

Select the correct graph of the given function.

Question 62

Assume that y is directly proportional to x. , determine a linear model that relates y and x.

Question 63

Determine whether the function has an inverse function. If it does, find the inverse function.

Question 64

The slope of line representing daily revenues y in terms of time x in years. Use the slopes to interpret any change in daily revenues for a one-day increase in time.
The line has a slope of

A) Sales decreasing 300 units/day
B) Sales increasing 300 units/day
C) No change in sales
D) None of the above

Question 65

Evaluate the function

A) 0
B) -2
C) 1
D) -2
E) -1

Question 66

Select the graph of the function.

Question 67

Find the average rate of change of the function from

Question 68

Show that the points form the vertices of the indicated polygon.

Question 69

Find

Question 70

Identify the parent function and the transformation shown in the graph. Write an equation for the function shown in the graph.

Question 71

Question 72

Assume that y is directly proportional to x. determine a linear model that relates y and x.

Question 73

Select the graph of the given function and determine the interval(s) for which x x

Question 74

Find ( f / g )(x).

Question 75

Plot the points in the Cartesian plane.

Question 76

Does the table describe a function?

A) Yes
B) No

Question 77

Graphically estimate the x- and y-intercepts of the graph.

Question 78

Find the domain of the function.

Question 79

Write the standard form of the equation of the circle with the given characteristics.

Question 80

Select the correct graph, showing f and g are inverse functions.