Inverse Functions Discussion

(The following is/are the initial prompt(s) for an online discussion; students may have posted responses, and prompts for further discussion may have been added, but these things are not shown.)

This discussion familiarizes you with the ideas of a function’s inverse, functions as sets of ordered pairs, and when a function has an inverse that is also a function.

See if you can collectively come up with examples of functions from the integers to the integers, and, for each example, illustrate some of the ordered pairs in that function, and some in its inverse. Try to come up with at least one example where the inverse is a function, and one or more where it isn’t.