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

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Answer 1 · 2016-09-19T16:23:26

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

#|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)#