Linear Functions Answers

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1
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Which graph represents y = –2x?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Which function is graphed on the coordinate plane below?

Question illustration
A
f(x) = 2x – 6
B
f(x) = 2x + 6
C
f(x) = –2x + 6
D
f(x) = –2x – 6
3

What is the slope of the equation ?

Question illustration
A
–7
B
Option
Option B
C
Option
Option C
D
5
4

If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

A
4
B
8
C
12
D
16
5

If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

A
The graph of f(x) has zero x-intercepts.
B
The graph of f(x) has exactly one x-intercept.
C
The graph of f(x) has exactly two x-intercepts.
D
The graph of f(x) has infinitely many x-intercepts.
6

Which equation is represented by the graph below?

Question illustration
A
y = –2x + 2
B
Option
Option B
C
Option
Option C
D
y = 2x + 4
7

One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?

Question illustration
A
the maximum weight allowed in a shipment
B
the minimum weight of a single box of screws
C
the minimum number of screws in a single box
D
the maximum number of single boxes for a shipment
8

The graph of a function must be linear if it has what characteristic?

A
It passes through the origin.
B
It crosses the x-axis more than once.
C
It crosses the y-axis exactly once
D
It has a constant slope.
9

Which graph shows a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

The cost to rent skis at a local sporting goods store is $15 plus $20 per day. Which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d?

A
c = (15 + 20)d
B
c = 15d + 20
C
c = 20d + 15
D
c = (15 + d)20

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