## Inverses of Discrete Functions

#### Aligned To Common Core Standard:

**High School Building Functions** - HSF-BF.B.4a

What are Discrete Functions? We know what functions are. Now let's understand what discrete functions are. A set of functions that are not continuous and can only take up certain values are known as discrete functions. More simply put, discrete functions are functions with distinct and separate values. This explains that the values of these functions are not linked or connected with each other. It can also be explained as a set of values that can be listed. It explains and represents numbers that can be counted, for example, a list of integers or a set of whole numbers. Consider an example to understand better. Let's say that you have a list of numbers ranging from 1 to 10. The discrete function can equal 1, 2, 3, 4 and so on but it does not represent 1.2, 2. 5, 3.5 or any other linking number. These lessons and worksheets have students learn all the necessary steps to take to find the inverse of a given function.

### Printable Worksheets And Lessons

- Inverse Exchanges
Step-by-step Lesson- We want to make these values run along
the opposite axis when graphed.

- Guided Lesson
- Find the inverse of all the functions along the way.

- Guided Lesson Explanation
- I specifically chose function that would work out nicely, hence
the title.

- Practice Worksheet
- Some people, even teachers, get thrown by the notation. We are
still looking for just the inverse.

- Matching Worksheet
- Match the functions to their inverses.

#### Homework Sheets

Make sure that students get very comfortable with the vocabulary here before setting them loose on their own.

- Homework 1 - An inverse relation is when you change the variables in such a way that they go along the opposite axis.
- Homework 2 - To find the inverse exchange first write the function in terms of y and then solve for y.
- Homework 3 - The general rule that you follow for inverses of points is to switch the x and y values.

#### Practice Worksheets

The inverse exchange concept does throw a few children off. Make sure they understand it.

- Practice 1 - Find the inverse exchange. If f = {(9, 3), (-7, -2), (4, -2), (7, 3)} Find f
^{-1}(x) - Practice 2 - Sometimes it only require you to just flip the x and y.
- Practice 3 - Complete the following problems.

#### Math Skill Quizzes

Sometimes the inverse of a function can be simple. Other times, it can take 30 minutes.