# What is the range of the function #y = |x| + 3#?

See a solution process below:

The absolute value function takes any positive or non-negative number and transforms it into it's non-negative form.

Therefore:

Therefore function will always be greater than or equal to:

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The range of the function y = |x| + 3 is all real numbers greater 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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