CK-12 Foundation
Ck 12: 3.3 Inverse Functions
This section explores the process for finding inverses of functions, and then proving the function and its inverse algebraically. Additionally, it explores how the graphs of functions and their inverses compare to each other, and it...
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
An introductory look at the definition of an inverse function, the notation used for inverse functions, and tests used to determine whether a function will have an inverse. Several examples are provided for the student to scroll through...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Inverse Functions
The sample problems and solutions in this tutorial will show you what an inverse function is: how to find one, how to graph a function and its inverse, and how to determine whether a function has an inverse.
University of Toronto (Canada)
University of Toronto: How to Graph the Inverse of a Function
This site explains how to graph an inverse function.
Purple Math
Purplemath: Graphing Logarithmic Functions: Intro
This lesson details graphing logarithmic functions. The lesson explains the relationship between the graph of the logarithm and its inverse. The site gives examples of logarithmic graphs of base 2, 3, and e. Shifts in logarithmic graphs...
Oswego City School District
Regents Exam Prep Center: Graphically Represent the Inverse of a Function
Investigates how to graph the inverse of a function. There is also an explanation that involves the use of a graphing calculator.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
CK-12 Foundation
Ck 12: Algebra Ii: 4.6 Transformations of Trigonometric Functions
Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).
Illustrative Mathematics
Illustrative Mathematics: F Bf Latitude
For this task, students are presented with data about latitude and the percentage of the Earth's surface north of each latitude line. They are to use this data to sketch a graph, analyze it, and build an understanding of an invertible...
CK-12 Foundation
Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperature Conversions
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
Oswego City School District
Regents Exam Prep Center: Unit Circle
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Alabama Learning Exchange
Alex: "Woody Sine"
The students will discover the shape of the sine function without creating a t-chart. The students will create a sine function using toothpicks. The students will then discover how the amplitude (height) and the period (number of compete...