Inverses of linear functions

The  exercise appears under the Algebra I Math Mission. This exercise develops the idea of inverse functions, specifically for linear functions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Select the inverse function: This problem has a linear function in both rule form and graph form. The student is asked to select the correct inverse function from a multiple choice list.Iolf1.png
 * 2) Write the inverse function: This problem has a linear function given in rule form and graph form. The student is asked to write the inverse function in the space provided.Iolf2.png

Strategies
Knowledge of the process involved to find inverse function is encouraged to ensure success on this exercise.
 * 1) An inverse function switches inputs and outputs, so it is found by interchanging x and y, then solving for y as a function of x.
 * 2) Plugging in a number (such as zero) and the taking that result and plugging into the answer choices (to get zero back) is one way to perform the Select the inverse function problem.

Real-life Applications

 * 1) It is important in mathematics to have a way of "undoing" operations so that equations can be solved with advanced mathematical operations and procedures. Inverses are the way to do this generally.