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

##### 2 Answers

May 6, 2018

The domain is the set of real numbers R

For the range we note that

Hence the range is the set

May 6, 2018

Domain:

Range:

#### 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.

Hope that helps!