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

Aug 8, 2017

See a solution process below:

#### Explanation:

The absolute value function takes any positive or non-negative number and transforms it into it's non-negative form.

Therefore:

$\left\mid x \right\mid$ will always be greater than or equal to $0$.

Therefore function will always be greater than or equal to:

$0 + 3 = 3$

Therefore, the range of the function is the set of all Real Numbers greater than or equal to $3$

$\left\{\mathbb{R}\right\} \ge 3$