Deck 4: Polynomial and Rational Functions

Question 1

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the coordinates of the vertex.

A) (-3, 2)
B) (3, -2)
C) (-3, -2)
D) (3, 0)

Answer 1

B

Question 2

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the equation of the axis.

A) y = 2
B) x = 5
C) x = -5
D) y = -2

Answer 2

B

Question 3

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the equation of the axis.

A) x = 5
B) x = 3
C) y = 3
D) y = 5

Answer 3

A

Question 4

Use the equation and the corresponding graph for the quadratic function to find what is requested.

Question 5

Match the equation to the correct graph.

Question 6

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the coordinates of the vertex.

A) (2, 5)
B) (5, 2)
C) (2, -5)
D) (-2, 5)

Question 7

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the y-intercept.

A) (3, 0)
B) (-3, 0)
C) (0, 3)
D) (0, 4)

Question 8

Match the equation to the correct graph.

Question 9

Use the equation and the corresponding graph for the quadratic function to find what is requested.

Question 10

Use the equation and the corresponding graph for the quadratic function to find what is requested.

Question 11

Match the equation to the correct graph.

Question 12

Match the equation to the correct graph.

Question 13

Use the equation and the corresponding graph for the quadratic function to find what is requested.

Question 14

Match the equation to the correct graph.

Question 15

Match the equation to the correct graph.

Question 16

Use the equation and the corresponding graph for the quadratic function to find what is requested.
Find the x-intercepts.

A) (1, -1)
B) (0, 0) and (0, 2)
C) (1, 0) and (3, 0)
D) (0, 0) and (2, 0)

Question 17

Match the equation to the correct graph.

Question 18

Find the domain and range of the function.

Question 19

Match the equation to the correct graph.

Question 20

Match the equation to the correct graph.

Question 21

Find the equation of the axis of symmetry of the parabola.

Question 22

Find the domain and range of the function.

Question 23

Find the equation of the axis of symmetry of the parabola.

Question 24

Identify the vertex of the parabola.

Question 25

Identify the vertex of the parabola.

Question 26

Find the domain and range of the function.

Question 27

Find the equation of the axis of symmetry of the parabola.

Question 28

Find the equation of the axis of symmetry of the parabola.

Question 29

Find the equation of the axis of symmetry of the parabola.

Question 30

Find the domain and range of the function.

Question 31

Identify the vertex of the parabola.

Question 32

Find the domain and range of the function.

Question 33

Find the domain and range of the function.

Question 34

Find the equation of the axis of symmetry of the parabola.

Question 35

Find the domain and range of the function.

Question 36

Find the domain and range of the function.

Question 37

Find the domain and range of the function.

Question 38

Find the equation of the axis of symmetry of the parabola.

Question 39

Identify the vertex of the parabola.

Question 40

Find the domain and range of the function.

Question 41

Identify the vertex of the parabola.

Question 42

Identify the vertex of the parabola.

Question 43

Sketch the graph of the parabola.

Question 44

Sketch the graph of the parabola.

Question 45

Sketch the graph of the parabola.

Question 46

Sketch the graph of the parabola.

Question 47

Sketch the graph of the parabola.

Question 48

2Given the equation or other information for a parabola, find the matching description or graph.

Question 49

Sketch the graph of the parabola.

Question 50

Sketch the graph of the parabola.

Question 51

2Given the equation or other information for a parabola, find the matching description or graph.

Question 52

Sketch the graph of the parabola.

Question 53

Sketch the graph of the parabola.

Question 54

Identify the vertex of the parabola.

Question 55

Identify the vertex of the parabola.

Question 56

Sketch the graph of the parabola.

Question 57

Sketch the graph of the parabola.

Question 58

Sketch the graph of the parabola.

Question 59

Identify the vertex of the parabola.

Question 60

Identify the vertex of the parabola.

Question 61

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.

A) linear; positive
B) quadratic; negative
C) quadratic; positive
D) linear; negative

Question 62

2Given the equation or other information for a parabola, find the matching description or graph.

Question 63

Solve the problem

Question 64

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.
The amount of sales tax paid as a function of the sales price.

A) quadratic; positive
B) linear; negative
C) quadratic; negative
D) linear; positive

Question 65

2Given the equation or other information for a parabola, find the matching description or graph.

Question 66

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.

A) quadratic; positive
B) linear; positive
C) linear; negative
D) quadratic; negative

Question 67

Provide an appropriate response.
A quadratic equation f(x) = 0 has a solution x = 3. Its graph has vertex (-1, -16). What is the other solution of the equation?

Question 68

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.
The height of a bouncing ball during one bounce, as a function of time.

A) quadratic; negative
B) linear; positive
C) linear; negative
D) quadratic; positive

Question 69

Provide an appropriate response.
Find a quadratic function f having x-intercepts -9 and -2 and y-intercept 6.

Question 70

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.
The amount of water in a pool as it is being filled, as a function of time.

A) quadratic; positive
B) quadratic; negative
C) linear; positive
D) linear; negative

Question 71

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.
The height of a ball thrown from the ground, as a function of time.

A) quadratic; negative
B) linear; positive
C) quadratic; positive
D) linear; negative

Question 72

Provide an appropriate response.

Question 73

Provide an appropriate response.

Question 74

Provide an appropriate response.

Question 75

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.

A) quadratic; negative
B) linear; negative
C) quadratic; positive
D) linear; positive

Question 76

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.

A) linear; positive
B) linear; negative
C) quadratic; positive
D) quadratic; negative

Question 77

Tell whether a linear model or a quadratic model is appropriate for the data. If linear, tell whether the slope should be
positive or negative. If quadratic, decide whether the leading coefficient a of should be positive or negative.

A) quadratic; negative
B) linear; positive
C) quadratic; positive
D) linear; negative

Question 78

Provide an appropriate response.
Find a quadratic function f having x-intercepts 3 and -4 and y-intercept -24.

A) f(x) = x + x - 12
B) f(x) = 2x + 2x - 24
C) f(x) = x2 + 5x - 24
D) f(x) = x2 + x - 24

Question 79

Provide an appropriate response.

Question 80

2Given the equation or other information for a parabola, find the matching description or graph.