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Math
Algebra 1
Absolute Value Expressions, Equations, and Inequalities
Interpret Absolute Value Functions as Piecewise

Practice problem

Interpret Absolute Value Functions as Piecewise

By EElise Molinaro

+3 contributors

Contributors

Elise Molinaro
Alex Federspiel
Victor Wang
Anusha Rahman

Which of the following piecewise functions does the graph above represent?

Choose one answer

Option A: A

y=\left\{\begin{matrix} -(x-4) & \text{when }x<4\\x-4 &\text{when } x\geq4\end{matrix}\right.

Option B: B

y=\left\{\begin{matrix} (x-4) & \text{when }x<4\\x-4 &\text{when } x\geq4\end{matrix}\right.

Option C: C

y=\left\{\begin{matrix} -(x-4) & \text{when }x<4\\x-4 &\text{when } x\leq4\end{matrix}\right.

Option D: D

y=\left\{\begin{matrix} (x-4) & \text{when }x<4\\x-4 &\text{when } x\leq4\end{matrix}\right.

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