Putting it Together: Functions
At the beginning of the module, we left Joan pondering the idea that even though her birthday is unique to her - we all have only one birthday - each possible birth date is not unique with respect to how many people have it.
Joan decides to survey people so she can make a plot of her birthday function. She asks her Facebook friends (of which she has many) to send their birthdays. Some of the data she collected for May is in the table below.
Name | Birthday |
Homer | May |
Grandpa | May |
Mindy, Edward | May |
Jacob | May |
Greta , Maureen | May |
David | May |
Professor McGonagall , January Jones | May |
Travis | May |
Shelley, Shannon, Kelvin | May |
Brianne | May |
Thomas, Monica | May |
Fritz, Liam | May |
Joan then plotted the data with Excel and got the following graph:

Notice how some dates, like May , have multiple people associated with them. All the people, on the other hand, have only one birthdate that they are associated with.
Functions are a very useful tool in mathematics, and we will continue to use them throughout the rest of this course. You will most definitely study more functions if you take more math courses in the future.