Evaluate the Function f(r^2)=(r^2)/(|r^2|)

$f (r^{2}) = \frac{r^{2}}{| r^{2} |}$

Remove non-negative terms from the absolute value.

$f (r^{2}) = \frac{r^{2}}{r^{2}}$

Cancel the common factor of $r^{2}$ .

Cancel the common factor.

$f (r^{2}) = \frac{r^{2}}{r^{2}}$

Rewrite the expression.

$f (r^{2}) = 1$