# How do you find the domain and range of #f(x)= -2 + sqrt(16 - x^2)#?

##### 1 Answer

Find the highest and lowest x-values for which the function is defined, then find the highest y-value (which will occur at

Domain:

Range:

#### Explanation:

Look for where the function is defined. Recall that we cannot take the square root of a negative number; thus, for all x,

Thus, this function is only defined for

The highest

The lowest

Thus, our range will be