Linear Piecewise Defined Functions Answers

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

–2

–1

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A piecewise function is defined as shown.

−3

−2

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

{f(x)| –∞ <f(x) < ∞}

{f(x)| –∞ <f(x) ≤ 4}

{f(x)|4<f(x)<∞}

{f(x)|0≤f(x)<∞}

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

−7

−1

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

{x | 1 < x < 5}

{y | −4 < y < 1}

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.

The function h(x) is defined as shown.h(x) =

–∞ < h(x) < ∞

h(x) ≤ 5

h(x) ≥ 5

h(x) ≥ 3

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

Option

The function g(x) is defined as shown.

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

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