Relations and Functions

In the video I was supposed to include the uses for functions. I did record that part, but messed up that part of the video, and considering how long it took to edit I decided to just include it here for now:

Uses for functions

Functions are incredibly useful and you will have been using them already. A function can be thought of as an instruction on what to do with an input value. For example adding 2 to a number is a type of function. We know that we can input any value for x, add 2 to it, and then get the output.

Computer programming would not be possible without functions. This website was created using functions. For example there is a function at the top of this page that will look in the database to see if there is a video in the database. So the input is does a video, yes or no. If yes, then the function will output the video to the top of the screen, if no, then the function will output a blank area instead.

Questions

  1. The monthly average water temperature of the Gulf of Mexico in Key West, Florida varies during the year. In January, the average water temperature is 69F, in February: 70F, in March: 75F, and in April: 78F. Show how you could represent this data in the four different ways.
  2. What are the domain and range of this relation: {( -3, 14), ( 0, 7), ( 2, 0), ( 9, -18), ( 23, -99)}?