Free Printable Functions Review

1.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

2.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

3.

$Given\ f\left(x\right)=\frac{1}{3}\left(x+6\right)\ what\ is\ f\left(-6\right)?$

a)

$\frac{2}{3}$

b)

$-8$

c)

$-6$

d)

0

4.

$Given\ g\left(x\right)=20x-189\ what\ is\ g\left(\frac{1}{2}\right)?$

a)

-189

b)

-179

c)

200

d)

answer not here

5.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

6.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=-12?$

a)

-1

b)

0

c)

2

d)

3

7.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=8?$

a)

5

b)

10

c)

9

d)

-12

8.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

9.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

10.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

11.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

12.

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

a)

n²+3n-5

b)

-n³+2n-7

c)

n³+3n-3n

d)

n²-3n-5

13.

g(x) = x² + x - 2
Find g(x - 3)

a)

g(x - 3) = x² - 5x + 4

b)

g(x - 3) = x² - 7x - 14

c)

g(x - 3) = x² + x + 4

d)

g(x - 3) = x² - 6x + 10

14.

$f\left(x\right)=2x+5$ and $g\left(x\right)=x-7$
Find $f\left(g\left(5\right)\right)$

a)

-1

b)

1

c)

8

d)

9

15.

$f\left(x\right)=x-3$ and $g\left(x\right)=2x+6$
Find $g\left(f\left(-1\right)\right)$

a)

-2

b)

-1

c)

1

d)

16

16.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

17.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

18.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

19.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

20.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

21.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

22.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

23.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

24.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

25.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

26.

Which set of values is not a function?

a)

(9,5) (10,5) (4,-5) (8,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (-5, -7) (1, 4)

27.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

28.

Identify the range of the following function when given the domain { 2, 3, 10}:

y = 4x - 12

a)

4, 12, 20

b)

-20, 0, 28

c)

{-4, 0, 28}

d)

8, 12, 40

29.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

30.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

31.

What are the independent quantities in the table?

a)

{5,6,7,8,9}

b)

{0,1,2,3,4}

c)

x

d)

y

32.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

Functions Review

Total questions: 32

Worksheet time: 1hrs 14mins

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