# How do you find domain and range for f(x) = abs(x-2)?

The domain is the set of real numbers $D \left(f\right) = R$ and the range is
$R \left(f\right) = \left[0 , + \infty\right)$

Oct 2, 2015

What is the graph look like?graph{|x-2| [-3, 7, -5, 5]}

#### Explanation:

1. Domain
Look at the x-axis, where can't x be. In this case x can be every real number, $\left(- \infty , \infty\right)$.

2. Range
Now, look at the y-axis, where can't y be. In this class, y can't be negative, $\left(0 , \infty\right)$.