# How do you find the domain and range of sqrt(16-x^4)?

Domain: $\left[- 2 , 2\right]$
Range: $\left[0 , 4\right]$

#### Explanation:

We can use $x$ less than $- 2$ and $x$ more than $2$ so therefore domain is
Domain: $\left[- 2 , 2\right]$

Corresponding outputs give values not exceeding 4 and not less than 0. Therefore, range is

Range: $\left[0 , 4\right]$

God bless....I hope the explanation is useful.