Step Functions Answers

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1
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Which is the graph of g(x) = ⌈x + 3⌉?

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

The step function f(x) is graphed.

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

Which is the graph of y = ⌊x⌋ – 2?

A
Option
B
Option
C
Option
D
Option
5

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?

Question illustration
A
41.9 inches
B
42 inches
C
44 inches
D
44.1 inches
6

The step function f(x) is graphed.

Question illustration
A
-3
B
-1
C
0
D
1
7

The graph represents f(x) = .

Question illustration
A
-2
B
0
C
1
D
2
8

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}
9

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
10

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}

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