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

Answer:

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!