Name: Per: Date: _ ID: A

Math 8 Function Unit Review

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Find the domain and range of the relation.

Age of BooksPerson Read65 4236 3729 3729 17

A) domain: {29, 29, 36}range: {17, 37, 42}

B) domain: {29, 29, 36}range: {37, 37, 42}

C) domain: {29, 36, 65}range: {37, 37, 42} -

D) domain: {29, 36, 65}range: {17, 37, 42}

Write a function rule for the table.

2.x y'2 -83 -124 -165 -20

A) y = -4x B) Y = 4x C)y=x-4 D) y = x + 4

1

Graph the relation in the table. Then use the vertical-line test. Is the relation a function?

3.

x y

-3 -4

0 51 -53 1

A)y

.,~

-4 -? x.,

-<.

The relation is not a function.B)

y

A

~L

-~ -12 x~

-L

The relation is not a function.

C)y

~=zr

-4 -? x.,

-L

The relation is a function.D)

y

-L

-~ -b x~

-L

The relation is a function.

2

4.x y

-1 3

1 -1

2 2

1 3

A)y

~~

-~ -12 x~~

The relation is a function.B)

y

~

-4 _l

'"-

The relation is not a function.

x

C)I y

,.,~

-~ -0 x,.,-

The relation is a function.D)

y

,.,~

-4 -? x,.,~

The relation is not a function.

3

5. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{( -3, -6), (-1, -6), (5, -6), (8, -6)}

A) C)

The relation is not a function. The relation is a function.B) D)

The relation is a function. The relation is not a function.

Find the domain and range of the function represented by the graph.

6.

• 2 •

y

-4 -3 -2 -1-1

1 2 3 4 x

-2

-3

A) domain: {-4, -2, 0,2, 4}; range: {2, 0, -2}B) domain: {l, 2, 3, 4}; range: {2, 0, -2}C) domain: {I, 2, 3, 4}; range: {-4, -2, 0,2, 4}D) domain: {2, 0, -2}; range: {-4, -2, 0,2, 4}

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7. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{(-8, -6), (-5,2), (-8,1), (7, 3)}

A) C)

The relation is a function.B)

The relation is a function.

Write a rule for the linear function in the table.

8.x y-4 16

0 0

4 -16

8 -32

A) y=-4x B) y=x+16

D)

C) y= 4x

The relation is not a function

The relation is not a function.

1D) y=--x4

5

9.x y

-3 -1

0 2

3 5

6 8

A) y=x+2 B) y= 3x C) y=x-2 D) y=x-l

A)

10. Use the vertical-line test to determine which graph repre~ents a function.

C)y

~k

~d ~') x~rz:

y

~I--I--..., -~v.>1/

~14 ~~ x<, t---..., t---~ r-r--r--

A

B)y

1/ <,

I \/ \~..

~~ ~b x...,

1\ ~J

\ IIr-, /'

D) \ y I\ /

II

~\ k /'\ 17

-14 ~b I\, / x~

~k

6

Find the domain and range of the function represented by the table.

11.

A) domain: {-I, 0,1, 2}; range: {-7, -5, -3, -I}B) domain: {I, 2, 3, 4}; range: {-I, 0, 1, 2}C) domain: {-7, -5, -3, -I}; range: {-I, 0, 1, 2}D) domain: {I, 2, 3, 4}; range: {-7, -5, -3, -I}E) None of the above

y

Describe the domain and range of the function.

12.

6

4

2

234 6 x

A) domain: 0:::::; x:::::; 6,range: O:::::;y::; 3;

C) domain: 0:::::; x :::::;3,range: O::;y::; 6;

B) domain: 0:::::; x :::::;3,range: O:::::;y S;6;

D) domain: 0 :::::;x :::::;6,range: 0 S;y S;3;

13. Is the equation y = &x + 1 in function form?A) Yes, there is a constant in it.B) Yes, it is solved for y.C) No, it is in slope-intercept form

Explain.D) No, there is a y in it.E) No, a variable is making it non-linear.

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14. Is the equation x - 4y = 3 in function form?A) Yes, there is a constant in it.B) Yes, it is solved for y.C) No, it is not in slope-intercept form.

15. Is the function linear or non-linear?

7

6

y

I II

<, V ~-,1'--.. .......V

4

2

2 3 4 5 6 7 x

A) LinearB) Non-linearC) Neither

16. Is the function linear or non-linear?

7

y

<,r-,<, r-,

<,I"'---..

<,i'--

6

4

2

1 2 3 4 5 6 7 x

A) BothB) Non-linearC) Neither

Explain.D) No, there is a y in it.E) No, a variable is making it non-linear.

D) HyperboleE) Quadratic

D) LinearE) Ellipse

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17. Use the table to determine ifthe function is linear or non-linear.

I ; I ~ I ,~ I ,38 IExplain.

424

530

A) Linear, the rate of change is not constant.B) Non-linear, the rate of change is constant.C) Linear, the rate of change is constant.D) Non-linear, the rate of change is not constant.E) None of the above

18. Use the table to determine if the function is linear or non-linear. Explain.

I ; I ~ I : I ~ I t3 o18

A) Linear, the rate of change is not constant.B) Non-linear, the rate of change is constant.C) Linear, the rate of change is constant.D) Non-linear, the rate of change is not constant.E) None of the above

19. The table shows the number y of muffins baked in x pans. Find the missingy-value(s) that makes the tablerepresent a linear function?

1

Pans, x 1__ 3 4_-+-_5__Muffins,y 18 ? 30

A) Any number other than 26B) 19C) Any number other than 24

D) 24E) None of the above

20. The table shows the cost y (in dollars) for x theater tickets. Find the missingy-value(s) that makes the tablerepresent a nonlinear function.

A) 28B) Any number other than 52C) 52

D) Any number other than 57E) None of the above

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Use the graph below to answer the next 5 questions.

21. For what interval(s) is the function increasing?A) (-00,0) D) (-00, -4)B) (0,00) E) (-4,00)C) (-00,00)

22. For what interval(s) is the function decreasing?A) (-00, 0) D) (-00,-4)B) (0,00) E) (-4,00)C) (-00,00)

23. For what interval(s) is the function positive?A) (-00, -4)B) (-2,2)C) (-00, -2) U (2,00)

D) (-00, -4) U (-4, 00)E) (-4,00)

24. For what interval(s) is the function negative?A) (-00, -4)B) (-2,2)C) (-00, -2) U (2, 00)

D) (-00, -4) U (-4, 00)E) (-4,00)

25. What are the intercepts?A) x-int: -4; y-int: -2, 2B) x-int: (-2, 2); y-int: (-4, 00)C) x-int: -4, -2, 2; y-int: none

D) x-int: (-00, -2) U (2,00); y-int: (-4,00)E) x-int: -2, 2; y-int: -4

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