Answers INMT2 Integrated Math 2 Sem 1 26-27Step Functions

Step Functions Answers

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Which is the graph of y = ⌊x⌋ – 2?

Option

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

{x| –4 < x ≤ 4}

{x| –3 < x ≤ 4}

{x| 1 < x ≤ 4}

{x| 2 < x ≤ 4}

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?

Option

The step function f(x) is graphed.

-3

-1

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

Parking costs $1 per hour for the entire day.

Parking costs $2 per hour for the entire day.

The total cost of 2 hours of parking is $1.

The total cost of 1 hour of parking is $2.

Which is the graph of g(x) = ⌈x + 3⌉?

Option

The graph represents y = ⌈x⌉ + 1.

–5

–4

–2

–1

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?

5.50

5.75

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

all real numbers

all rational numbers

all negative integers

all even integers

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

{x| x ≥ –1}

{x| x ≥ 1}

{x| x is an integer}

{x| x is a real number}

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

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).

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.

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.

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).

The graph represents f(x) = .

-2

The step function f(x) is graphed.

-2

-1

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