Linear Piecewise Defined Functions Answers

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Which functions represent a piece of the function? Select three options.

g(x) = −2x, −2 < x < 0

g(x) = −2, x < −2

g(x) = x − 2, −2 < x < 1

g(x) = −2x + 6, x ≥ 1

g(x) = + 1, –2 ≤ x < 1

The function g(x) is defined as shown.

The piecewise function f(x) has opposite expressions.f(x) = Which is the graph of f(x)?

Option

The piecewise function h(x) is shown on the graph.

–2

–1

The graph of the piecewise function f(x) is shown.

{x | −2 ≤ x < 4}

{x | −2 < x ≤ 4}

{y | −5 < y < −1}

{y | −5 ≤ y ≤ −1}

A piecewise function f(x) is defined as shown.f(x) = Which table could be used to graph a piece of the function?

Option

Which times and distances are represented by the function? Select three options.

The starting distance, at 0 hours, is 300 miles.

At 2 hours, the traveler is 725 miles from home.

At 2.5 hours, the traveler is still moving farther from home.

At 3 hours, the distance is constant, at 875 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Which value is in the domain of f(x)?f(x) =

–7

–6

The piecewise function h(x) is shown on the graph.

−2

−1

The piecewise function h(x) is shown on the graph.

−7

−1

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