Download
1 / 9
90 likes | 229 Vues
This guide explores inverse functions and their properties, emphasizing the importance of one-to-one functions. It covers topics such as the horizontal line test, finding inverse formulas, and graphing both functions and their inverses. The guide answers key questions about the existence of inverse functions for linear and quadratic functions, introduces inverse function notation, and delves into examples like exponential functions. Equipped with comprehensive explanations and visual aids, this resource is perfect for students seeking a solid understanding of inverse functions.
E N D
1. Section 9.2 Inverse Functions Inverses and 1-to-1 Functions
The Horizontal Line Test
Finding Formulas for Inverses
Graphing Functions and Their Inverses
Inverse Functions and Composition
2. Inverses and One-to-One Functions Lets look at two simple functions:
3. Does an Inverse Function Exist? Tests for One-To-One Functions
4. Thinking about Inverse Functions Do all Linear Functions have Inverse Functions?
All except Horizontal and Vertical Lines
What about Quadratic Functions (Parabolas)?
5. Inverse Function Notation: f -1(x)
6. Graphing Functions & Their Inverses
7. Consider g(x) = x3 + 2 and g -1(x) Is g(x) one-to-one?
8. Inverse Functions and Composition
9. What Next? Exponential Functions Section 9.3 Exponential Functions
