Precalculus Examples

$\frac{r^{2}}{| r^{2} |}$

Step 1

To find the interval for the first piece, find where the inside of the absolute value is non-negative.

$r^{2} \geq 0$

Step 2

Since the left side has an even power, it is always positive for all real numbers.

All real numbers

Step 3

Since $r^{2}$ is never negative, the absolute value can be removed.

$\frac{r^{2}}{r^{2}}$