1. Trade places with x and y. Solve for y. Replace y with f-1(x).
Learning Objective
We will find the inverses of simple Linear, Quadratic, and Cubic Functions.
What are we going to learn?
CFU
Activate Prior Knowledge
Inverse operations are operations that undo (reverse) each other. or
Replace f(x) with y.
Steps for finding the Inverse of a Function. 1 2 3 4
Trade places with x and y.
Solve for y.
Replace y with f-1(x).
Find the inverse of each given function.

6. Study of Inverses Functions will lead into study of calculus, specifically integration. The concept of a function is also central to computer programming, Engineering, Medicine, science, etc..
Big Idea: math occur in the context of other math, science, or engineering, rather than in the ordinary activities of life, so it's not realistic to pretend everyone will be using advanced math whenever they go shopping or something, or that anything outside their experience is unimportant.

7. Students, you already know the inverse operations is same as taking the opposite sign. Now, we will use the inverse operations to find the inverses of simple Linear, Quadratic, and Cubic Functions.
Make Connection
*Study Guide for Exam-1: Inverses Functions is on my.hrw.com

8. Group-1
Group-2
Group-3
Group-4

10. We will find the inverses of simple Linear, Quadratic, and Cubic Functions.
Relevance
Inverse operations are operations that undo (reverse) each other. 1
Solving simple inverses functions will help you in an engineering career.
Linear functions can model things such as pressure vs depth in the ocean. Quadratic functions can model things such as the amount of rainfall vs. crop yield. Cubic functions can be used to model volume. 2
Inverse functions are important for making predictions and analyzing data based on what we see is happening.
Does anyone else have another reason why it is relevant to solve simple inverse functions? (Pair-Share) You may give one of my reasons or one of your own. Which reason is more relevant to you? Why?
CFU
magnetic field

11. Inverse operations are operations that undo (reverse) each other.
We will find the inverses of simple Linear, Quadratic, and Cubic Functions.
Word Bank
Inverse operations are operations that undo (reverse) each other.
Summary Closure
Word Bank
Radical
Square root
Inverse
Reverse
Opposite