Question

consider this absolute value function.f(x) = |x-5|how can the function f be written as a piecewise function

Answer 1

By definition

`|y|=\begin{cases}y,\text{ }y\ge0 \\ {} \\ {-y,\text{ }y<0}\end{cases}`

Graphically, what |y| represents is

If y = x -5

The correct option is D.

To have a better understanding of it lets graw its graph