What is the domain and range of x + 3 = |y|?

1 Answer
Sep 19, 2016

x in [-3, oo) and y in (-oo, oo)

Explanation:

|y| = x + 3 >= 0. So, x >=-3.

This equation is the combined equation for the pair of straight

half-lines that make a right angled horizontal V.

The separate equations are.

y =x+3, y>=0 and

y=-(x+3), y<=0

The right angular terminal is (-3, 0).. They lines are equally

inclined to the x-axis y = 0..

x in [-3, oo) and y in (-oo, oo)