Lesson 3: Step Functions Answers

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3

Which is the graph of g(x) = ⌈x + 3⌉?

A
Option
B
Option
C
Option
D
Option
4

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
6

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
7

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.
9

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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Lesson 3: Step Functions Answers — INMT2…