Deck 3: Polynomial and Rational Functions

Question 1

Graph.

A)
B)
C)
D)

Answer 1

Question 2

Write the quadratic function in the form y = + k.
y = + 12x

A) - 144
B) + 12
C) - 36
D) + 6

Answer 2

- 36

Question 3

Identify the vertex of the parabola.
f(x) =

A)
B)
C)
D)

Answer 3

Question 4

Identify the vertex of the parabola.

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

Question 5

Identify the vertex of the parabola.
y = - 126x + 574

A) (7, 9)
B) (7, 0)
C) (9, 7)
D) (9, 0)

Question 6

Identify the vertex of the parabola.
y = - 6x + 10

A) (0, 3)
B) (1, 0)
C) (1, 3)
D) (3, 1)

Question 7

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.

A) min -4, dec
B) , min -2, dec
C) min -4, dec
D)

Question 8

Graph.

A)
B)
C)
D)

Question 9

Identify the vertex of the parabola.
y = - 40x - 103

A) (3, 5)
B) (-3, -5)
C) (5, 3)
D) (-5, -3)

Question 10

Identify the vertex of the parabola.
f(x) = 3x2 + 18x + 26

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

Question 11

Graph.

A)
B)
C)
D)

Question 12

Graph.

A)
B)
C)
D)

Question 13

Graph.

A)
B)
C)
D)

Question 14

Graph.

A)
B)
C)
D)

Question 15

Identify the vertex of the parabola.

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

Question 16

Write the quadratic function in the form y = + k.
y = - 12x + 29

A) + 7
B) + 7
C) - 7
D) - 7

Question 17

Graph.

A)
B)
C)
D)

Question 18

Identify the vertex of the parabola.
f(x) = + 2

A) (2, 0)
B) (2, 4)
C) (4, 2)
D) (0, 4)

Question 19

Identify the vertex of the parabola.
f(x) = - - 6

A) (-2, -6)
B) (2, -6)
C) (-2, 6)
D) (2, 6)

Question 20

Identify the vertex of the parabola.
y = + 12x - 16

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

Question 21

Give the interval where the function increases or decreases, as requested.
f(x) = + 2 decreases

A)
B) [0,-2]
C)
D) [2,0]

Question 22

Find the range of the function.
f(x) = -3 -

A)
B)
C)
D)

Question 23

Give the interval where the function increases or decreases, as requested.
f(x) = + 9 increases

A)
B)
C)
D)

Question 24

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.

A) , min -1, dec
B)
C) min -1, dec
D) , min -1, inc

Question 25

Find the range of the function.
f(x) = + 80x + 317

A)
B)
C)
D)

Question 26

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = + 12x + 9

A) (-3, 0); maximum
B) (-2, -3); minimum
C) (-3, -2); maximum
D) (-2, 0); minimum

Question 27

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = -

A) (3, 3); maximum
B) (3, 0); minimum
C) (0, 3); minimum
D) (- 3, - 3); maximum

Question 28

Give the interval where the function increases or decreases, as requested.
f(x) = + 2 decreases

A)
B)
C)
D)

Question 29

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) =

A) (5, 6); maximum
B) (6, 0); minimum
C) (5, 0); maximum
D) (6, 5); minimum

Question 30

Give the interval where the function increases or decreases, as requested.
f(x) = decreases

A) [0,8]
B)
C) [-8,0]
D)

Question 31

Give the interval where the function increases or decreases, as requested.
f(x) = - 3 increases

A)
B)
C)
D)

Question 32

Find the range of the function.
f(x) = - 90x + 235

A)
B)
C)
D)

Question 33

Find the range of the function.
f(x) = - 8x + 24

A)
B)
C)
D)

Question 34

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.

A) , max 4, inc
B) min -5, inc [0, 4), dec
C) max 4, inc
D)

Question 35

From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of
symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which
the function is increasing or decreasing.

A) , max 9, inc
B) , max 9, inc
C) , max 9, inc
D) , max 9, inc

Question 36

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = + 20x + 94

A) (-6, 0); maximum
B) (-6, -10); maximum
C) (0, -10); minimum
D) (-10, -6); minimum

Question 37

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) =

A) (5, 6); minimum
B) (6, 5); maximum
C) (6, 0); maximum
D) (0, 5); minimum

Question 38

Find the range of the function.
f(x) = - 18x - 82

A)
B)
C)
D)

Question 39

Find the range of the function.
f(x) = + 8x + 8

A)
B)
C)
D)

Question 40

Find the range of the function.
y = - 7

A)
B)
C)
D)

Question 41

Find the y-intercepts and any x-intercepts.
y = + 10x - 25

A) y-intercept (0, -25), x-intercept (-5, 0)
B) y-intercept (0, -25), no x-intercepts
C)
D)

Question 42

Tell whether the graph of the function opens up or down.
P(x) = - - 1

A) down
B) up

Question 43

Find the y-intercepts and any x-intercepts.
y = - 2x

A) y-intercept (0, 0), x-intercept (0.4, 0)
B) y-intercept (0, 0), x-intercepts (0, 0) and (0.4, 0)
C) y-intercept (0, 0), x-intercepts (0, 0) and (-0.4, 0)
D) y-intercept (0, 0), x-intercepts (0, 0) and (0, 0.4)

Question 44

Tell whether the graph of the function opens up or down.
P(x) =

A) up
B) down

Question 45

Tell whether the graph of the function opens up or down.
P(x) =

A) down
B) up

Question 46

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = - + 180x - 807

A) (-3, 0); minimum
B) (0, -9); minimum
C) (-3, -9); maximum
D) (9, 3); maximum

Question 47

Tell whether the graph of the function opens up or down.
P(x) = - 2

A) up
B) down

Question 48

Find the y-intercepts and any x-intercepts.
y = - 3x - 18

A) y-intercept (0, -18), x-intercepts (6, 0) and (-3, 0)
B) y-intercept (-18, 0), x-intercepts (0, 6) and (0, -3)
C) y-intercept (0, 18), x-intercepts (6, 0) and (-3, 0)
D) y-intercept (0, -18), x-intercepts (-6, 0) and (3, 0)

Question 49

Find the y-intercepts and any x-intercepts.
y = + 8

A) x-intercept (8, 0), no y-intercepts
B) y-intercept (8, 0), no x-intercepts
C) y-intercept (0, 8), x-intercept (8, 0)
D) y-intercept (0, 8), no x-intercepts

Question 50

Tell whether the graph of the function opens up or down.
P(x) = + 2

A) down
B) up

Question 51

Tell whether the graph of the function opens up or down.
P(x) = - 2x + 1

A) up
B) down

Question 52

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = + 6x + 5

A) (0, -3); maximum
B) (-4, -3); maximum
C) (-3, -4); minimum
D) (-4, 0); minimum

Question 53

Tell whether the graph of the function opens up or down.
P(x) = + 5

A) down
B) up

Question 54

Tell whether the graph of the function opens up or down.
P(x) = + 5

A) up
B) down

Question 55

Find the maximum or minimum point of the function and state whether it is a maximum or minimum.
f(x) = - 30x - 85

A) (10, 5); maximum
B) (-5, -10); maximum
C) (10, 0); minimum
D) (0, 5); minimum

Question 56

Tell whether the graph of the function opens up or down.
P(x) = + 1

A) down
B) up

Question 57

Find the y-intercepts and any x-intercepts.
y = - 7

A)
B)
C)
D)

Question 58

Tell whether the graph of the function opens up or down.
P(x) = - 1

A) up
B) down

Question 59

Find the y-intercepts and any x-intercepts.
y = + 5x + 7

A) y-intercept (0, 7), x-intercept (-5, 0)
B) y-intercept (0, 7), x-intercept (1.4, 0)
C) no y-intercept, no x-intercept
D) y-intercept (0, 7), no x-intercepts

Question 60

Find the y-intercepts and any x-intercepts.
y = + 4x

A) y-intercept (0, 0), x-intercepts (0, 0) and (0, -4)
B) y-intercept (0, 0), x-intercept (-4, 0)
C) y-intercept (0, 0), x-intercepts (0, 0) and (4, 0)
D) y-intercept (0, 0), x-intercepts (0, 0) and (-4, 0)

Question 61

Identify the axis of symmetry of the parabola.
y = + 16x + 34

A) x = 4
B) x = -2
C) x = -4
D) x = 2

Question 62

Solve the quadratic inequality by graphing an appropriate quadratic function.
- 2x - 35 < 0

A)
B)
C) (-5, 7)
D)

Question 63

Identify the axis of symmetry of the parabola.
f(x) = - - 4x - 4

A) x = 2
B) x = 1
C) x = -1
D) x = -2

Question 64

Identify the axis of symmetry of the parabola.
y = + 8x + 9

A) x = 1
B) x = 2
C) x = -1
D) x = -2

Question 65

Solve the quadratic inequality by graphing an appropriate quadratic function.

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

Question 66

Identify the axis of symmetry of the parabola.
y = x + 2

A) x = - 1
B) x = 1
C) x = 2
D) x = 0

Question 67

Solve the quadratic inequality by graphing an appropriate quadratic function.

A)
B)
C)
D) [-4, -2]

Question 68

Solve the quadratic inequality by graphing an appropriate quadratic function.

A)
B) [-5, -1]
C)
D)

Question 69

Solve the quadratic inequality by graphing an appropriate quadratic function.

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

Question 70

Identify the solution set to the inequality by inspecting the graph.

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

Question 71

Solve the quadratic inequality by graphing an appropriate quadratic function.

A)
B)
C)
D) [-4, -2]

Question 72

Identify the axis of symmetry of the parabola.
y = - + 6x - 5

A) x = 2
B) x = -1
C) x = 1
D) x = -2

Question 73

Solve the quadratic inequality by graphing an appropriate quadratic function.

A)
B) No solution
C)
D)

Question 74

Solve the quadratic inequality by graphing an appropriate quadratic function.

A)
B) [-4, 6]
C)
D)

Question 75

Identify the axis of symmetry of the parabola.
y = - 40x + 102

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

Question 76

Identify the axis of symmetry of the parabola.
y = - 6x + 17

A) x = 3
B) x = -3
C) x = 8
D) x = 0

Question 77

Solve the quadratic inequality by graphing an appropriate quadratic function.
+ 3 > 0

A)
B)
C)
D) No solution

Question 78

Identify the axis of symmetry of the parabola.
y = - 60x + 183

A) x = 3
B) x = 6
C) x = 0
D) x = -3

Question 79

Solve the quadratic inequality by graphing an appropriate quadratic function.

A) [-3, 1]
B)
C)
D)

Question 80

Find the y-intercepts and any x-intercepts.
y = - - 4x + 2

A) y-intercept (0, 2), no x-intercepts
B)
C)
D)