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You can define the domain as anything you like and that will determine the range. Or, you can define the range as anything you like and that will determine the domain.

For example:

domain = {1, 2, 3, 4, ... } then range = {-3, 0, 5, 12, ... }

or

range = {1, 2, 3, 4, ... } then domain = {sqrt(5), sqrt(6), sqrt(7), sqrt(8), ...}.

There is, of course, no need to restrict either set to integers but then it was easier to work out one set from the other.

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9y ago
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9y ago

You can define either one however you want and that will determine the other.For example: Domain = Positive integers => Range = {-3, 0, 5, 12, ... }Domain = Positive real numbers => Range y ≥ -4Domain = Complex numbers => Range = Complex numbers.

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Q: What is the domain and range for y equals x squared minus 4?
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