Question

Write y=4|x+5| as a piecewise function.

Answer 1

$y = 4 |x + 5|$

So,

$y = 4(x + 5) \: if \: x > - 5 \\ y = - 4(x + 5)if \: x < - 5$

This is because, modulus takes only the positive version of the term inside it. So as if x is smaller than -5 then it will constitute a negative value and to make it positive we need to multiply it with -1.

Hope It Helps