Deck 4: Polynomials and Rational Functions

Question 1

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

Answer 1

D

Question 2

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

Answer 2

B

Question 3

Match the equation to the correct graph.

A)
B)
C)
D)

Answer 3

Question 4

Match the equation to the correct graph

A)
B)
C)
D)

Question 5

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

Question 6

Match the equation to the correct graph.

Question 7

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

Question 8

Match the equation to the correct graph.

Question 9

Match the equation to the correct graph

A)
B)
C)
D)

Question 10

Match the equation to the correct graph.

Question 11

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

Question 12

Match the equation to the correct graph

A)
B)
C)
D)

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.

A)
B)
C)
D)

Question 15

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

Question 16

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

Question 17

Find the domain and range of the function.

Question 18

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

Question 19

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

Question 20

Match the equation to the correct graph.

Question 21

Find the domain and range of the function.

A)
B)
C)
D)

Question 22

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

Question 23

Find the domain and range of the function.

Question 24

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

A) x=5
B) x=-5
C) x=0
D) x=1

Question 25

Find the domain and range of the function.

Question 26

Identify the vertex of the parabola.

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

Identify the vertex of the parabola.

A) (9, 3)
B) (3, 9)
C) (9, 0)
D) (0, 3)

Question 30

Find the domain and range of the function.

A)
B)
C)
D)

Question 31

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

Question 32

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

Question 33

Find the domain and range of the function.

A)
B)
C)
D)

Question 34

Find the domain and range of the function.

A)
B)
C)
D)

Question 35

Find the domain and range of the function.

Question 36

Find the domain and range of the function.

A)
B)
C)
D)

Question 37

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

A) x=-1
B) x=-5
C) x=1
D) x=5

Question 38

Identify the vertex of the parabola.

Question 39

Identify the vertex of the parabola.

Question 40

Find the domain and range of the function.

A)
B)
C)
D)

Question 41

Identify the vertex of the parabola.

Question 42

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

Question 43

Question 44

Question 45

Question 46

Identify the vertex of the parabola

A) (-1,-2)
B) (1,2)
C) (2,1)
D) (-2,-1)

Question 47

Question 48

Question 49

Question 50

Sketch the graph of the parabola.

Question 51

Given 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

Question 55

Sketch the graph of the parabola.

Question 56

A) (0, 9)
B) (4, 9)
C) (4, 0)
D) (9, 4)

Question 57

A) (1, 6)
B) (1, 0)
C) (6, 1)
D) (6, 0)

Question 58

Identify the vertex of the parabola.

A) (1,-5)
B) (-1,5)
C) (-5,1)
D) (5,-1)

Question 59

Identify the vertex of the parabola

A) (-1,3)
B) (3,-1)
C) (-3,1)
D) (1,-3)

Question 60

Sketch the graph 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.
The height of a bouncing ball during one bounce, as a function of time.

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

Question 62

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; negative
D) quadratic; positive

Question 63

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?

A) 7
B) -4
C) -3
D) -5

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 water in a pool as it is being filled, as a function of time.

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

Question 65

Provide an appropriate response.

Question 66

Provide an appropriate response.

Question 67

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) linear; negative
D) quadratic; positive

Question 68

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

A)
B)
C)
D)

Question 69

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

A)
B)
C)
D)

Question 70

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

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 amount of sales tax paid as a function of the sales price.

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

Question 72

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) linear; positive
D) quadratic; positive

Question 73

Provide an appropriate response.

Question 74

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

A)
B)
C)
D)

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

Question 76

Provide an appropriate response.

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.
The height of a ball thrown from the ground, as a function of time.

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

Question 78

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 polynomial function t represents the yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline?

A) 19 yr
B) 9.5 yr
C) 8.5 yr
D) 12.67 yr

Question 79

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 80

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