Question

How do you write `m(x) = |x+2| - 7` as a piecewise function?

Answer 1

`m>=-7`. `m =x-5, x >= -2 and -x-9, x<=-2`.

Explanation:

As `|x+2| >=0, m>=-7`.

`m = (x+2)-7=x-5, x>=-2 and`

`=-(x+2)-7=-x-9, x <=-2`.

See the Socratic depiction.

graph{|x+2|-7 [-20, 20, -10, 10]}