# How do you find the domain and range of #g(x) = 2(1/2)^(2x) +3#?

To assist with the Range, determine the asymptote.

The exponential function will always approach, but never touch, the asymptote—graphing calculators will eventually round it off, though.

This graph is available:

graph{[-10, 10, -5, 5]} = 2*(1/2)^(2x)+3

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**Domain:** All real numbers
**Range:** ( (3, +\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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