About This Lesson
This lesson introduces students to inverse functions and their applications. Students will learn how to determine whether a function has an inverse, find the inverse of a function algebraically, and verify inverse relationships through composition. The lesson includes guided examples, practice exercises, and graphical representations to help students understand the relationship between a function and its inverse.
By the end of the lesson, students will be able to identify one-to-one functions, use the Horizontal Line Test, find inverse functions, and verify their answers using function composition. This lesson is designed to promote critical thinking, algebraic reasoning, and a deeper understanding of function relationships, making it suitable for secondary mathematics and college-preparatory courses.
