What is the domain and range of y=absx -2?

2 Answers

The domain is the set of real numbers R

For the range we note that

y+2=|x|>=0=>y>=-2

Hence the range is the set [-2,+oo)

May 6, 2018

Domain: {x in RR}
Range: y = [-2,oo^+)

Explanation:

The domain, in words is x is a real number, and the range is y
is greater than or equal to -2
.

graph{|x|-2 [-10, 10, -5.21, 5.21]}

Absolute values are always positive numbers, since they express the distance a number is from zero, which seems pretty useless at first, but they are nice in instances such as chemistry, or physics, where you want to calculate percentage error.

y=|x|-2 is like y=x-2, but all the y values must be greater than or equal to -2

Hope that helps!