# How do you find the domain and range of # y = |x - 6|#?

Domain

Range

We are give the absolute Value Function

Investigate the graph below:

We observe that ALL Real Values are possible for the function's Domain

Hence, Domain

We can also write the Domain as

For

Hence, Range

We can also write the Range as

I Hope you find this solution useful.

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Domain: All real numbers Range: y ≥ 0

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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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