AnswersAlgebra III ALinear Piecewise Defined Functions

Step Functions Answers

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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
2
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The graph represents the parking fees at a mall parking lot.

Question illustration
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.
3

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}
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

The step function f(x) is graphed.

Question illustration
A
-3
B
-1
C
0
D
1
6

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

A
{x| x ≥ –1}
B
{x| x ≥ 1}
C
{x| x is an integer}
D
{x| x is a real number}
7

The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).C(t) = What is the total cost for 20 tickets?

Question illustration
A
$14.50
B
$16.00
C
$290.00
D
$320.00
8

If f(x) = −2 + 8, what is f(−1.8)?

Question illustration
A
4
B
6
C
10
D
12
9

The graph represents y = ⌈x⌉ + 1.

Question illustration
A
–5
B
–4
C
–2
D
–1
10

The graph represents f(x) = .

Question illustration
A
-2
B
0
C
1
D
2

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