Free Printable Unit 9 Remediation Quiz

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Unit 9 Remediation Quiz

Total questions: 26

Worksheet time: 59mins

Name

Class

Date

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

$y\le3$

$y>3$

All real numbers

$-1\le y\le3$

Identify the domain and range of the function.

Domain: -6 ≤ x ≤ 2

Range: $y\le5$

Domain: All real number

Range: $y\ge5$

Domain: All real numbers

Range: $y\le-3$

Domain: All real numbers

Range: $y\ge-3$

Find the vertex of
f(x) = -x²- 4x + 12

(-2, 16)

(2, 0)

(2, 4)

(-2, 4)

Where is the function decreasing?

(-∞, -1)

(-1, ∞)

(-∞, 3)

(-∞, ∞)

What is the interval of decrease of this graph?

$4\le x<\infty$

$-\infty<x<\infty$

$3\le x<\infty$

$3<x<\infty$

What is the interval of increase of this parabola?

$-3\le x\le1$

$-3<x<1$

$0<x<4$

$1<x<4$

Question 2

Find the range of f(x) = -x² + 4x – 5

a) range: (- 1 , 0]

b) range: (0 , -1]

c) range: (infinity , 1]

d) range: (- infinity , -1]

Question 3

Find the vertex of the graph of f(x) = 3x² + 6x - 10

a) vertex at: (-1 , -13)

b) vertex at: (1 , 13)

c) vertex at: (-13 , -1)

d) vertex at: (-1 , 13)

Question 4

Find the intervals of increase and decrease of f(x) = 6x² + x - 2

a) interval of decrease: (infinity , -1/12) , interval of increase: (-1/12 , +infinity)

b) interval of decrease: (-infinity , -1/12) , interval of increase: (-1/12 , +infinity)

c) interval of decrease: (-infinity , -1/12) , interval of increase: (1/12 , +infinity)

d) interval of decrease: (infinity , -1/12) , interval of increase: (-1/12 , infinity)

10.

Question 5

Find the AOS axis of symmetry of the graph of f(x) = -2x² - x - 2

a) The axis is a vertical line given by x = 1/4

b) The axis is a vertical line given by x = 4

c) The axis is a vertical line given by x = -1

d) The axis is a vertical line given by x = -1/4

11.

Question 7

Find the range of f(x) = x² + 5x - 2

a) range given by interval: [-33/4 , + infinity)

b) range given by interval: [-33/2 , + infinity)

c) range given by interval: [33/4 , + infinity)

d) range given by interval: [0 , + infinity)

12.

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

-9

13.

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function $d\left(t\right)=0.8t^2$ . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

14.

What is the average rate of change from x=0 to x=1

-3

15.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

1/2

-2

-1/2

16.

Describe the end behavior of the graph.

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→0

x →∞,y→∞ and x→⁻∞, y→⁻∞

17.

What is the vertex for
f(x)=4(x-2)² + 3

(-2, 3)

(2,-3)

(4,3)

(2,3)

18.

Determine the end behavior of the graph of
f(x) = 3x⁴ + 2x - 5
Note: f(x)=y

As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.

As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.

As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.

19.

Select the statements that are true about this Graph

This graph has a minimum

This graph has a Maximum

This graph has zeros of -3 and -1

The vertex is located at (-2, 2)

The graph has y-intercepts at (-3,0) and (-1, 0)

20.

Select the statements that are true about the graph

The graph has a minimum

This graph has a maximum.

The solution of the quadratic function is represented by the graph is (-1, -4)

The y-intercept is (0,-3)

The roots of this quadratic function is -3 and 1

21.

Describe the transformation of y = 3(x - 3)² + 3

Narrow, Right, Up

Narrow, Left, Down

Wide, Right, Up

Wide, Left, Down

22.

Describe the transformation of y = x² + 4

Shift UP

Shift DOWN

Shift LEFT

Shift RIGHT

23.

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

The graph of g(x) is wider than the graph of f(x)

The graph of g(x) is narrower than the graph of f(x)

The graph of g(x) is shifted 5 units up above f(x)

The graph of g(x) is shifted 5 units down below f(x)

24.

The equation of red graph is y = x². What is the equation of the blue graph?

y = x² + 5

y = x² - 5

y = (x - 5)²

y = (x + 5)²

25.

The equation of red graph is y = x². The equation of the blue graph is y = x²- 3. What is the line of symmetry of these graphs?

y = 0

x = 0

(0, -3)

x-axis

26.

Compare the graphs of g(x) = 8x² and f(x) = x²

g(x) opens upward, and f(x) opens downward

g(x) is narrower than f(x)

g(x) is wider than f(x)

g(x) has a vertex located higher on the y-axis than f(x)

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Unit 9 Remediation Quiz

Total questions: 26

Worksheet time: 59mins

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