# find the range of ? f(x) = |x| + 3

## f(x) = |x| + 3

Mar 14, 2018

$\left\{y \in R | y \ge 3\right\}$

#### Explanation:

The function $y = \left\mid x \right\mid$ yields positive values of $y$ for all values of $x$.

Adding $3$ to this function moves its curve up by $3$ units.

So, the range becomes all positive values of $y$ from $3$ onwards.

This can be mathematically stated as:

$\text{Range of}$ $f \left(x\right) = \left\{y \in R | y \ge 3\right\}$