# How do you find the domain and range of #y=-(x-2)^2 +3 #?

Domain:

Range:

We must look for divide by zeroes and negatives under radicals in order to locate the domain.

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The domain of (y = -(x - 2)^2 + 3) is all real numbers, ((-∞, ∞)), because there are no restrictions on the input (x).

The range of (y = -(x - 2)^2 + 3) is (y ≤ 3) because the maximum value of (-(x - 2)^2) is 0, and when added to 3, it results in a range of values less than or equal to 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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