Math Question
![Consider this absolute value function.
\[
f(x)=|x-5|
\]
How can function \( f \) be written as a piecewise function?
A.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq-5 \\
-x+5, & x<-5
\end{array}\right.
\]
B.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq 5 \\
-x-5, & x<5
\end{array}\right.
\]
C.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq-5 \\
-x-5, & x<-5
\end{array}\right.
\]
D.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq 5 \\
-x+5, & x<5
\end{array}\right.
\]](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2021/12/21/80794999-4b5e-4ca4-ac94-f1a34521ab04.png "Consider this absolute value function.
\[
f(x)=|x-5|
\]
How can function \( f \) be written as a piecewise function?
A.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq-5 \\
-x+5, & x<-5
\end{array}\right.
\]
B.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq 5 \\
-x-5, & x<5
\end{array}\right.
\]
C.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq-5 \\
-x-5, & x<-5
\end{array}\right.
\]
D.
\[
f(x)=\left\{\begin{array}{ll}
x-5, & x \geq 5 \\
-x+5, & x<5
\end{array}\right.
\]")
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