AnswersAlgebra IUnit Test

Step Functions Answers

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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
2
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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
3

The graph represents y = ⌈x⌉ + 1.

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

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}
5

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.
6

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
7

The step function f(x) is graphed.

Question illustration
A
-3
B
-1
C
0
D
1
8

The step function f(x) is graphed.

Question illustration
A
-2
B
-1
C
0
D
1
9

Which is the graph of y = ⌊x⌋ – 2?

A
Option
B
Option
C
Option
D
Option
10

Which is the graph of the step function f(x)?f(x) =

Question illustration
A
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 3, negative 1) and continues horizontally to an open circle at (negative 1, negative 1). The second line has a closed circle at (negative 1, 0) and continues horizontally to a closed circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to an open circle at (3, 1).
Option A
B
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 1, negative 1) and continues horizontally to the left at y = negative 1. The second line has a closed circle at (negative 1, 0) and continues horizontally to a closed circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to the right at y = 1.
Option B
C
On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 1, negative 1) and continues horizontally to the left at y = negative 1. The second line has an open circle at (negative 1, 0) and continues horizontally to an open circle at (1, 0). The third line has a closed circle at (1, 1) and continues horizontally to the right at y = 1.
Option C
D
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 3, negative 1) and continues horizontally to an open circle at (negative 1, negative 1). The second line has an open circle at (negative 1, 0) and continues horizontally to an open circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to an open circle at (3, 1).
Option D

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Step Functions Answers — Algebra I