Domain and Range

The next topic that needs to be discussed when it comes to relations and functions is domain and range.

The domain of a function is the set of all possible input values. Another way of looking at domain is that it is all the possible values of x.

The range of a function is the set of all possible output values, or all the possible values of y.

For example, given the function from our last self-check, {(-5, 6), (-3, 0), (1, 8), (3, 10)}, the domain is all the possible values of x and the range is all the possible values of y. This gives us:

Domain = {-5, -3, 1, 3}

Range = {6, 0, 8, 10}