# What is the range of the function #x^2+y^2=36#?

##### 1 Answer

Apr 4, 2017

[-6, 6]

#### Explanation:

That relation is not a function.

The relation is in the standard form of a circle.

Its graph is a circle of radius 6 about the origin.

Its domain is [-6, 6], and its range is also [-6, 6].

To find this algebraically, solve for y.

The range is largest in absolute value when x = 0, and we have

That is, at -6 and 6.