# How do you graph f(x) = |2x + 1|?

Sep 7, 2017

See below.

#### Explanation:

When dealing with absolute values, we need to look at the value in the absolute bars as being both positive and negative. In this example that would be:

$2 x + 1 \mathmr{and} - \left(2 x + 1\right)$ since $| 2 x + 1 | \equiv | - \left(2 x + 1\right) |$

So we graph $y = 2 x + 1$ and $y = - 2 x - 1$

For range $\left\{y \in \mathbb{R} | y \ge 0\right\}$

See graph:
graph{y = | 2x + 1 | [-3, 2, -0.5, 3]}