Graphing Cube Root Functions Using Transformations

This lesson covers graphing key root functions using transformations. It reviews inverse functions, explaining how they switch domain and range and are reflections over the line y=x. The lesson also discusses rigid and nonrigid transformations, which affect the graph's shape and position. It explains how to graph cube root functions by using a t-table and switching domain and range. The domain and range of cube root functions are all real numbers. Finally, the lesson demonstrates graphing h(x) using transformations, including vertical stretching and horizontal shifting, and states the domain and range.

What is the relationship between a function and its inverse function in terms of their graphs?

How do you find the inverse of the function y = 2x + 3?

Explain the difference between rigid and nonrigid transformations of functions.

What is the domain and range of the function g(x) = cube root of x?

Describe the transformations applied to the function h(x) = 2 * cube root of x + 1.