Answers Algebra III ALinear Piecewise Defined Functions

Step Functions Answers

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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}

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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).

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

The graph represents f(x) = .

-2

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

The step function f(x) is graphed.

-3

-1

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}

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?

$14.50

$16.00

$290.00

$320.00

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?

41.9 inches

42 inches

44 inches

44.1 inches

The step function f(x) is graphed.

-2

-1

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