Free Printable Functions Review

1.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

2.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

3.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

4.

a)

24

b)

-6

c)

32

d)

36

5.

r(-2) = ?

a)

r(-2) = -12

b)

r(-2) = -8

c)

r(-2) = -4

d)

r(-2) = -2

6.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

7.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

8.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

9.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

10.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

11.

f(x) = - (x)² + 1
find f(3)

a)

10

b)

7

c)

- 5

d)

- 8

12.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has y values of 2 & 9

d)

No it's not a function because the y value 5 has x values of 2 & 9

13.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has y values of 10 & 12

14.

How do you administer a vertical line test.

a)

You don't only doctor's are allowed to do those

b)

Draw lines straight across your graph and see if any hit the graph more than once

c)

Draw lines straight down your graph and see if any hit the graph more than once

d)

Check to see if the graph is a vertical line( straight up)

15.

a)

Function

b)

Not a Function

16.

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

17.

Which set of ordered pairs is not a function?

a)

(1, 3), (2, 7), (3, 8), (4, 11)

b)

(2, 3), (4, 9), (3, 8), (4, 15)

c)

(1, 2), (3, 5), (6, 9), (7, 11)

d)

(-9, 4), (-6, 3), (-2, 8), (0, 21)

18.

The table below gives the number of fish in a local koi pond each year.

What is the average rate of change from 2 to 5 years?

a)

24 more fish each year

b)

72 more fish each year

c)

20.4 more fish each year

d)

15 more fish each year

19.

The graph shows the temperature of a substance that is set out to cool over time (in minutes).

What is the average rate of change between 20 and 25 minutes?

a)

-20°C per minute

b)

-15°C per minute

c)

-10°C per minute

d)

-50°C per minute

20.

The graph shows the temperature of a substance that is set out to cool over time (in minutes).

Cody believes that the temperature decreased more between 9 and 12 minutes than between 20 and 25 minutes. Is Cody correct or incorrect?

a)

Correct

b)

Incorrect, the average rate change decreased less between 9 and 12 minutes than between 20 and 25 minutes.

c)

Incorrect, the average rate of change is the same.

21.

The graph shows the number of computers that have been infected with a virus, c(d), d days after the computer virus was first reported.

What is the average rate of change between 3 and 5 days?

a)

96 computers per day

b)

64 computers per day

c)

192 computers per day

d)

32 computers per day

22.

If f(x) = -5x + 12, what is the input when the output is -13?

a)

3

b)

4

c)

5

d)

6

23.

If $f\left(x\right)=\frac{3}{4}x+6$ , what is the input when the output is 15?

a)

10

b)

12

c)

-12

d)

18

24.

If $f\left(x\right)=-3x-2$ , what is the input when the output is 10?

a)

-3

b)

-4

c)

3

d)

4

25.

What interval for the function c(x) has the greatest average rate of change?

a)

[0,1]

b)

[1,2]

c)

[2,3]

d)

[3,5]

26.

What is the input when the output is 3?

a)

2

b)

5

c)

9

d)

12

27.

What is the value of x when the output = 16?

a)

x = 4 only

b)

x = 4 and x = 8

c)

x = 16

d)

Not on the graph

28.

a)

-5

b)

5

c)

0

d)

-1

29.

Sally opened a book store for the summer. The line graph displays the data of the sales. During which time interval did the data increase or decrease the fastest?

a)

[1,2]

b)

[3,4]

c)

[6,7]

d)

[7,8]

30.

What is the proper domain?

a)

$\left(0,\infty\right)$

b)

$\left[0,\infty\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left(-\infty,0\right]$

31.

What is the Domain of this linear function?

a)

[-6,6]

b)

[0,7]

c)

[2,7]

d)

No Solution

32.

g(x) = 11 - x
Find g(x) = -7

a)

4

b)

17

c)

18

d)

-77

33.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

34.

What is the range of the function?

a)

(-4, 2]

b)

[-4, 2)

c)

[-2,4)

d)

(-2,4]

35.

Identify the average rate of change on the interval when x = 1 and x = 3.

a)

4

b)

$\frac{1}{6}$

c)

6

d)

16

Functions Review

Total questions: 35

Worksheet time: 3hrs 49mins

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