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What is a function? A function from X to Y is a relation between X and Y
that has the property that any two ordered pairs with the same x-value also
have the same y-value. It is a correspondance that assigns to each number
x in X exactly one number y in Y. Basically, X and Y are sets and there
exists one number (x) in the set X that corresponds with one number (y)
in the set Y.
When dealing with functions, there are two basic types: the on-to function
and the one-to-one function. A function is on-to if it it's range consists of all
the values in the the set Y and it is one-to-one if there is one and only one
x-value for each y-value in each of the sets. Below are some example of
functions, see if you can determine whether they are on-to or one-to-one.
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