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# Can someone explain domain and range of a function

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I am confused as to what the difference is between domain and range can someone explain it and how to calculate domain and range.

Mar 14, 2018

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The domain is all the possible x values

and

The range is all the range is all the posible y vlues.

You can often get it just by looking at or thinking about the curve.

Sometimes you must look at the eqation and look at what values x or y can, or cannot take.

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for instance

y-2 =1/x

You cannot divide by 0 so x is not zero

so the domain is all real x where x is not equal to 0

$$Domain:\:x\in R\;\;where\;\; \:x\ne0\;\;$$

1 divided by anything is not equal to 0 so y-2 is not equal to 0 so    y is not equal to 2

$$Range:\:y\in R\;\;where\;\; \:y\ne2\;\;$$

So x=0 and y=2 are the asymptotes of this hyperbola.

Mar 14, 2018