AnswersAlgebra III ALinear Piecewise Defined Functions

Linear Piecewise Defined Functions Answers

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4

The graph represents the cleaning costs charged by a housekeeping service.Which statement is true of the cost function?

A
A cleaning time of 2 hours will cost $100.
B
A cleaning time of 6 hours will cost $150.
C
Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours.
D
Cost is a fixed rate of $200 for jobs that require at least 6 hours.
7

Which graph represents the function f(x) = 4⌈x⌉?

A
Option A
B
Option B
C
Option C
D
Option D
8

Which function and domain could represent the given graph?

A
f(x) = 1 – ⌊x⌋; –3 < x < 3
B
f(x) = 1 + ⌊x⌋; –3 ≤ x ≤ 3
C
f(x) = –⌊x⌋; –3 ≤ x ≤ 3
D
f(x) = ⌊x⌋; –3 < x < 3
9

Which mathematical situation can be graphed using a step function?

A
Each output is the place value of the ones digit for an input.
B
Each output is the remainder when an input is divided by 5.
C
Each output is the result of determining the absolute value of the input.
D
Each output is the result of rounding an input to the nearest ten.
10

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