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Worksheets

Functions Review

Total questions: 25

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

Let f(x) = x + 3. Evaluate f(-2).

a)

-1

b)

1

c)

5

d)

-5

2.

Let f(x) = -4x - 5 and g(x) = 3 - x. Evaluate g(-4) + f(1).

a)

7

b)

-2

c)

-9

d)

-10

3.

Let f(x) = x2 + 3. Evaluate f(-2).

a)

-1

b)

1

c)

7

d)

-7

4.

Let f(x) = 2x2 + 5x - 17. Evaluate f(-1).

a)

-20

b)

-24

c)

12

d)

16

5.

Let h(x) = -x2 + 3x. Evaluate h(5).

a)

40

b)

-10

c)

30

d)

-15

6.

Does the mapping describe a function? Explain

a)

Yes, because the input 11 has two outputs.

b)

Yes, because each input has only one output.

c)

No, because the input 11 has two outputs.

d)

No, because each input has only one output.

7.

What is the domain of the graph?

a)

1 ≤ x ≤ 4

b)

1 < x < 4

c)

1 ≤ y ≤ 4

d)

1 < y < 4

8.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

9.

Does the graph describe a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; the line has endpoints.

10.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

7/3

d)

-4

11.

What is x if f(x) = -2?

a)

4

b)

0

c)

3

d)

8

12.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

13.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
14.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?
a)
A cost of $7 to ride the taxi
b)
The cost to ride 7 miles
c)
The minimum distance to ride a taxi
d)
The minimum cost of a taxi
15.
Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.
16.
Complete the function notation below
f(____) = 214
a)
1990
b)
1991
c)
1989
d)
1994
17.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
18.

j(x) = (x - 8)2, for j(15)

a)

49

b)

7

c)

-7

d)

-49

19.

using y = 4x + 7, what is the range if the domain is {-1, 0, 2}

a)

{3, 7, 15}

b)

{-1, 7, 11}

c)

{-1, 0, 2}

d)

{-1, 11, 15}

20.

Using 4y - 3x = 6, what is the range if the domain is {-2, 0, 2}

a)

{-2, 0, 2}

b)

{0, 3/2, 3}

c)

{0, 3, 2}

d)

{4, -3, 6}

21.

Using 2x + 5y = 1, what is the range if the domain is {-2, 0, 2}

a)

{-2, 0, 2}

b)

{0, 3/2, 3}

c)

{1, 1/5, -1}

d)

{-3/5, -1/5, 3}

22.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
23.

What is f(-8)?

a)

8

b)

0

c)

6

d)

-2

24.
Find f(3)
a)
2
b)
7
c)
-1
d)
none
25.

Find x if k(x)=8

a)

6

b)

5

c)

none

d)

0