# What is the domain and range of #f(x,y) = sqrt(9-x^2-y^2)#?

The domain is represented by the disc whose center is the origin of the coordinates system and the radius is 3.

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Domain: ( -3 \leq x \leq 3 ), ( -\sqrt{9-x^2} \leq y \leq \sqrt{9-x^2} )

Range: ( 0 \leq f(x,y) \leq 3 )

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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