## Calculus 8th Edition

Domain:$[-2,2]$ Range:$[0,4]$
The square root restricts the domain to x for which the radicand is nonnegative, $16-x^{4} \geq 0$ $x^{4} \leq 16$ $|x| \leq \sqrt[4]{16}$ $|x| \leq 2$. Domain:$[-2,2]$ Range: $y \geq 0$ and y is maximum when $x^{4}$ is minimal (0), $y \leq \sqrt{16}$ $0 \leq y \leq 4$. Range:$[0,4]$