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

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The domain is what you choose it to be. You could, for example, choose the domain to be [3, 6.5] If the domain is the real numbers, the range is [-12.25, âˆž).

The domain and the range depends on the context. For example, the domain and the range can be the whole of the complex field. Or I could define the domain as {-2, 1, 5} and then the range would be {0, 3, -21}. When either one of the range and domain is defined, the other is implied.

Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.

D = {x [element of reals]}R = {y [element of reals]|y >= 4}

The answer depends on the domain for x. For example, if the domain is x = 7, then the range is 55. If the domain is all Real numbers, then the range is y >= 6.

The domain is (-infinity, infinity) The range is (-3, infinity) and the asymptote is y = -3

y is greater than 0 x exist in a set of real numbers

The domain could be the real numbers, in which case, the range would be the non-negative real numbers.

domain: all real numbers range: {5}

domain: (-infinity to infinity) range: ( -infinity to infinity)

The domain would be (...-2,-1,0,1,2...); the range: (12)

The Domain and Range are both the set of real numbers.

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