Question

How do you write `H(x) = 2/3|x-5|` as a piecewise function?

Answer 1

`H(x)={((2x-10)/3 color(white)("xxx")"if "x>=5),((10-2x)/3 color(white)("xxx")"if "x < 5):}`

Explanation:

If `(x-5) < 0 (rarr x < 5)` then `abs(x-5)=5-x`