From our work with desmos, students looked at composite functions graphically, and looked at the types of functions that when composed created the line y = x. We saw that the inverse switches (reverses) the order of the coordinates in the original function. We also could see that the inverse function undoes the original function. We used this idea to create the inverse function. Then we looked at these graphically using desmos. We saw that the function and its inverse are reflections over the line y= x. We also showed how to find a function's inverse algebraically by using the switch and solve method.
Use the video link below for review or practice:
www.youtube.com/watch?reload=9&v=PWcjyhW8vMk
https://www.khanacademy.org/math/algebra2/manipulating-functions/introduction-to-inverses-of-functions/v/introduction-to-function-inverses
https://www.youtube.com/watch?v=cbFl1H3oGMk
https://www.brightstorm.com/math/algebra-2/inverse-exponential-and-logarithmic-functions/finding-an-inverse-algebraically/
HW: Complete WS Inverse Functions - Equations (1 - 8)