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Lesson 3-2: Linear Functions

Total questions: 15

Worksheet time: 35mins

Name
Class
Date
1.

Find the value of f(-2) for the function f(x) = 4x + 10.

a)

-3

b)

-2

c)

2

d)

18

2.

Write a linear function rule for the data in the table.

a)

f(x) = 2x + 3

b)

f(x) = -2x + 3

c)

f(x) = 2x - 6

d)

f(x) = -2x - 6

3.

Which equation matches the graph?

a)

f(x) = 2x - 4

b)

f(x) = -3x - 4

c)

f(x) = 3x - 4

d)

f(x) = 4x + 2

4.
Evaluate f(-4) for the function f(x)=3x2-5
a)
f(-4) = 43
b)
f(-4) = 139
c)
f(-4) = -52
d)
f(-4) = -149
5.
a)

6

b)

-6

c)

14

d)

-14

6.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
7.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
8.
Sam joins a chocolate club for $22.  He pays $0.35 per ounce of chocolate after he has paid the membership fee. What function represents this situation?
a)
f(x) = 0.35y + 22
b)
f(x) = 0.35x - 22
c)
f(y) = 0.35x + 22
d)
f(x) = 0.35x +22
9.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, n, and the total fitness club membership, M?
a)
M(n)=15n
b)
M(n)=15n+80
c)
M(n)=n+15
d)
M(n)=80n+15
10.

If M(n)=15n+80 represents the total membership at a fitness club after n months being open, what was the total club membership after 7 months?

a)

87 members

b)

95 members

c)

102 members

d)

185 members

11.

f(x) = mx + b is another way of writing y = mx + b. This is called

a)

inequality

b)

slope

c)

function notation

d)

quadrant notation

12.

The number of people that can fit on a bus can be described as

a)

continuous domain

b)

discrete domain

13.

The growth of a newborn baby can be described as a

a)

continuous domain

b)

discrete domain

14.

Gas usage of a car could be described as

a)

continuous domain

b)

discrete domain

15.

Linear functions have a constant rate of change

a)

True

b)

False