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Worksheets

Functions Review

Total questions: 20

Worksheet time: 28mins

Name
Class
Date
1.
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
2.

Find f(7) - g(-4)

a)

-10

b)

3

c)

22

d)

11

3.
If f(x)=6x2-4,
what is f(0)?
a)
-4
b)
4
c)
0
d)
2
4.

g(x) = -9x +5.

If g(x)=32, find x.

a)

-283

b)

-3

c)

-293

d)

36

5.

If h(x) = 3 - 2x2

Find h(-3).

a)
33
b)
21
c)
39
d)
-15
6.
Function notation
If f(t) = t2 - t,find f(-8)
a)
-72
b)
-56
c)
56
d)
72
7.
Function Notation
If p(a) = 4a, 
find p(9).
a)
13
b)
49
c)
36
d)

35

8.

Function A is shown in the graph here.

Function B has the equation y=5x-4.

Which function has the greatest slope?

a)

Function A

b)

Function B

9.

What does f(-4) equal?
f(x) = -2x - 8

a)
8
b)
-4
c)
-16
d)
0
10.
Solve for f(5):
f(5) = -x + 4
a)
b)
1
c)
-1
d)
-9
11.
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
12.

If f(x) = 7x - 3, what is f(2)?

a)

10

b)

11

c)

14

d)

1

13.

Function notation
If g(y) = y2 + 6y, find g(-2).

a)

-8

b)

-4

c)

8

d)

4

14.

What is the formula for the Pythagorean theorem?

a)

a2 + b2 = c2

b)

a + b = c

c)

a2 - b2 = c2

d)

a2 + b2 = c

15.

If a right triangle has legs of length 6 and 8, what is the length of the hypotenuse?

a)

8

b)

10

c)

12

d)

14

16.

What is the slope of the line represented by the equation y = 3x - 7?

a)

7

b)

3

c)

-3

d)

-7

17.

If a line passes through the points (2, 4) and (6, 12), what is its slope?

a)

2

b)

4

c)

8

d)

0.5

18.

Solve for x: 2x + 5 = 13

a)

x = 4

b)

x = 9

c)

x = 8

d)

x = 3

19.

What is the solution to the equation 3y - 7 = 2?

a)

y = 3

b)

y = 5

c)

y = 2

d)

y = 7

20.

If 4z = 20, what is the value of z?

a)

z = 5

b)

z = 4

c)

z = 20

d)

z = 16