Linear Functions Answers

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1
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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.
2
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What is the slope of the equation y – 3 = –4(x – 5)?

A
–4
B
–3
C
20
D
23
3

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
4

What is the slope of the equation ?

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

Which graph shows a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

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.
7

If f(x) is a linear function, what is the value of n?xf(x)–4–25–1–10n20

A
2
B
4
C
5
D
9
8

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
9

If f(x) is a linear function, which statement must be true?

A
f(x) has no constant term.
B
f(x) has no x2-term.
C
f(x) has no terms with a coefficient other than 1.
D
f(x) has no x-term.
10

Which graph represents y = –2x?

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

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Linear Functions Answers — GA-GSE Algebra…