Question

I need help on this !!!!! Give an example of a relation that is a function and explain why it is a function.

Answer 1

y = x
it's a function because for any value of x, there is only one corresponding y value.

Answer 2

A function must be well defined. This means that every element in the domain maps to only one element in the range. In more math terms, let a and b be in the domain of f such that a = b. If f is a function, then if a = b, f(a) = f(b). A relation does not need to be well defined. An example of this would be y^2 = 4. y = 2 or -2. An ordered pair that would be part of a relation but not a function would be (x, y^2) vs an ordered pair possible in a function which would be (x^2, y).

Answer 3

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