Step Functions Answers

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1
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The step function f(x) is graphed.

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A
-3
B
-1
C
0
D
1
2
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If f(x) = −2 + 8, what is f(−1.8)?

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A
4
B
6
C
10
D
12
3

The graph represents f(x) = .

Question illustration
A
-2
B
0
C
1
D
2
4

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

A
5
B
5.50
C
5.75
D
6
5

An office supply store offers banner printing services. The store charges $4 to print each one-foot-long section of a banner that is three feet tall. Which graph represents the cost to print a three-foot-tall banner that is x feet long?

A
Option
B
Option
C
Option
D
Option
6

The graph represents y = ⌈x⌉ + 1.

Question illustration
A
–5
B
–4
C
–2
D
–1
7

A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

A
all real numbers
B
all rational numbers
C
all negative integers
D
all even integers
8

A clothing store uses the step function f(x) to recommend jeans sizes as a function of x, a child’s height in inches.f(x) = According to the function, which is the height of a child who should wear size 2 jeans?

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A
41.9 inches
B
42 inches
C
44 inches
D
44.1 inches
9

The graph represents the parking fees at a mall parking lot.

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A
Parking costs $1 per hour for the entire day.
B
Parking costs $2 per hour for the entire day.
C
The total cost of 2 hours of parking is $1.
D
The total cost of 1 hour of parking is $2.
10

All points of the step function f(x) are graphed.

Question illustration
A
{x| –4 < x ≤ 4}
B
{x| –3 < x ≤ 4}
C
{x| 1 < x ≤ 4}
D
{x| 2 < x ≤ 4}

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