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Math
Algebra 2
Functions and Their Characteristics
Piecewise Functions, in Depth
Piecewise Linear Functions

Practice problem

Piecewise Linear Functions

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Amy Feraco
Victor Wang

Which of the following piecewise functions are piecewise linear?

Choose all correct answers

Option A: A

f(x)=\begin{cases} x+3&-12\le{x}<{-2}\\ 3x+7 &-2\le{x}\le{ -1} \end{cases}

Option B: B

f(x)=\begin{cases} \sqrt{x+5}+4 &-\infty<{x}<\infty\\ x+9&-10\le{x}\le{-5} \end{cases}

Option C: C

f(x)=\begin{cases} -x-2 &-2\le{x}\le{0}\\ 3x-2 &0<x\le{1.5} \end{cases}

Option D: D

f(x)=\begin{cases} (x-3)^3 &1\le{x}<4\\ x-3 &4\le{x}\le{10} \end{cases}

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