Which of the following is a piecewise formula for the function $f(x)=|3 x-15|$
A) $f(x)= \begin{cases}15-3 x, & x \leq 5 \ 3 x-15, & x5\end{cases}$
B) $f(x)= \begin{cases}3 x-15, & x \leq 5 \ 15-3 x, & x5\end{cases}$
C) $f(x)= \begin{cases}15-3 x, & x \leq 15 \ 3 x-15, & x15\end{cases}$
D) $f(x)= \begin{cases}3 x-15, & x \leq 15 \ 15-3 x, & x15\end{cases}$

Question

Which of the following is a piecewise formula for the function $f(x)=|3 x-15|$
A) $f(x)= \begin{cases}15-3 x, & x \leq 5 \ 3 x-15, & x>5\end{cases}$
B) $f(x)= \begin{cases}3 x-15, & x \leq 5 \ 15-3 x, & x>5\end{cases}$
C) $f(x)= \begin{cases}15-3 x, & x \leq 15 \ 3 x-15, & x>15\end{cases}$
D) $f(x)= \begin{cases}3 x-15, & x \leq 15 \ 15-3 x, & x>15\end{cases}$

Quizplus · Accepted Answer

The absolute value function $f(x)=|3x-15|$ can be expressed as a piecewise function where $f(x)=15-3x$ for $x \leq 5$ and $f(x)=3x-15$ for $x > 5$.

Which of the Following Is a Piecewise Formula for the Function