# In the equation f(x)=1/2x if the range is a whole number what is the domian.

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Given the equation `f(x)=1/2 x ` , we are told that the range is a whole number.

Thus the output from the function is a whole number. In order for the output to be a whole number, the input must have been even.

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The domain of the function is an even number

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If the range was whole numbers, then the domain would be even whole numbers. If the range was integers, then the domain would be even integers.

I think the question is looking for is for you to recognize that the domain will be 2x the range. If the range is 4 (-2 , 2) then the domain will be 8 (-4 , 4).

And because 2 times any whole number is even, the domain will always be even.