Graph of the Absolute Value Function $y = |x|$

$y = |x|$ is the magnitude of $x$ with its sign removed: $y = x$ for $x \geq 0$ and $y = -x$ for $x < 0$.

The graph is a V shape with its vertex at the origin, an even function symmetric about the $y$-axis, with range $y \geq 0$. It has a corner at the origin, where it is not differentiable.