Module 2 – Functions

Section 1 - Introduction to Functions

As mentioned in the Introduction to this Module, a function is a particular kind of relationship.

In fact, the basic idea can be illustrated in terms of human relationships.
Every person has a unique birth mother. So if we have a particular person, p , in mind then there is only one person that we can mean by “the birth mother of p”. This person, who we’ll call m, is completely determined once we know p, but the reverse is not true. (If we identify a mother, she may have several children, so the phrase “child of m” does not always determine a unique person.)

Note that in this mathematical sense the mother “depends on” and “is a function of” the child – (both of which are opposite to what we might mean by such statements in ordinary language).

What to do


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