What is the rule or equation that describes the correspondence between the domain and the range?

Question

Thanks in advance for the help.

Answer 1

A function or a relation?

If you have a set of values D that make up a domain, and another set of values R that make up a range, then you can have a relation f : D -> R that maps values of D to values of R.

Not sure if this is what you're looking for...

Answer 2

The range = the largest value of y minus the smallest value of y that occurs over the the domain (possible x values).

For example If y = 3x+7, x can be any value from -infinity to +infinity. So Domain is (-infinity, +infinity).

The range is also (-infinity, +infinity).

If y=x^2 then domain is (-infinity, +infinity).

But Range is y>= 0, since x^2 is alwayx positive.

There is no exact relationship between domain and range except If f(x) is a polynomial, then domain=range = (-infinity, +infinity).

The domain of f(x) is the range of f^-1(x) and the range of f(x) = the domain of f^-1(x).

Mostly you have to figure each out separately.

Answer 3

Function