Domain and Range

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3

Think about Rule 2,

Given the function,

what is the domain?

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What is y when x is 16?

The square root of 16 is 4,

so y is 4 when x is 16

16 belongs to the domain,

and 4 belongs to the range.

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But what is y when x is –16?

What number do you square to get –16?

Did you say –4?

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not –16.

There is no real number we can square to get a negative number.

So no negative number can belong to the domain of

Slide 34

so the domain of

is

The smallest number for which we can find a square root is 0,

Slide 35

Find the domain of each function:

Slide 36

Answers: