For the piecewise-defined function below, state the equivalent absolute value function. $$ f(x)=\left\{\begin{array}{cc}-2 x+12 & \text { if } x \leq 6 \ 2 x-12 & \text { if } x6\end{array}\right. $$ The equivalent absolute value function is $$ f(x)=\square $$

Question

For the piecewise-defined function below, state the equivalent absolute value function. $$ f(x)=\left\{\begin{array}{cc}-2 x+12 & \text { if } x \leq 6 \ 2 x-12 & \text { if } x>6\end{array}\right. $$ The equivalent absolute value function is $$ f(x)=\square $$

Newton Tyler · Accepted Answer

The equivalent absolute value function is $$ f(x) = 2|x - 6| $$.

For the piecewise-defined function below, state the equivalent absolute value function. \[ f(x)=\left\{\begin{array}{cc}-2 x+12 & \text { if } x \leq 6 \\ 2 x-12 & \text { if } x>6\end{array}\right. \] The equivalent absolute value function is \( f(x)=\square \)

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For the piecewise-defined function below, state the equivalent absolute value function. \[ f(x)=\left\{\begin{array}{cc}-2 x+12 & \text { if } x \leq 6 \\ 2 x-12 & \text { if } x>6\end{array}\right. \] The equivalent absolute value function is \( f(x)=\square \)

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