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

[-6, 6]

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.

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Range: All real numbers such that y² ≤ 36.

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