# How do you find the domain and range of #f(x) = x^2 + 5#?

Domain:

Range:

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To find the domain of ( f(x) = x^2 + 5 ), note that it is a polynomial function, which is defined for all real numbers. So, the domain is all real numbers, or (\mathbb{R}).

To find the range, notice that the minimum value of ( x^2 ) is 0, since any real number squared is non-negative. Adding 5 to this minimum value gives 5. So, the range is all real numbers greater than or equal to 5, or ([5, \infty)).

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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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