Khan Academy
Khan Academy: Verifying Inverse Functions by Composition
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
Purple Math
Purplemath: Composition of Functions: Composing With Sets of Points
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
Math Open Reference
Math Open Reference: Function
A complete reference guide to functions including how to use functions, inverse functions, graphing a function, and functions in computer programming. It provides definitions and examples that enhance further explanation.
Khan Academy
Khan Academy: Verify Inverse Functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
Math Medics
S.o.s. Math: Inverse Functions, No Domain Restrictions
A good lesson explaining the inverse function and its domain. The lesson has two examples the student can examine.
Purple Math
Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
Purple Math
Purplemath: Inverses of Trigonometric Ratios
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
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.
Khan Academy
Khan Academy: Intro to Inverse Trig Functions
Learn about arcsine, arccosine, and arctangent, and how they can be used to solve for a missing angle in right triangles.
CK-12 Foundation
Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Khan Academy
Khan Academy: Laws of Sines and Cosines Review
Review the law of sines and the law of cosines, and use them to solve problems with any triangle.
Concord Consortium
Concord Consortium: Inverses of Functions
Learn how to graph the inverse of a series of discrete and continuous. Also learn how to determine whether the inverse of a function is also a function.
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).
Paul Dawkins
Paul's Online Notes: Inverse Functions Practice Problems
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
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.
University College London
University College London: Inverse Hyperbolic Functions
This site has links to information and examples on the inverse hyperbolic functions.
University of Guelph
University of Guelph: Trigonometry Tutorial
A guide to calculating trigonometric functions.
Analyze Math
Analyze Math: Applications and Use of the Inverse Functions
Learners explore applications of inverse functions. Topics investigated are angle of elevation, range, and right circular cones. The activity includes examples on uses of inverse functions in real situations with detailed solutions.
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...
Illustrative Mathematics
Illustrative Mathematics: G Srt Finding the Area of an Equilateral Triangle
This task examines how to calculate the area of an equilateral triangle two ways: using triangle congruence and using trigonometric ratios. Aligns with G-CO.C.10 and G-SRT.C.
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....
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...
University of Illinois
University of Illinois: Quadratic Formula
This site from the University of Illinois offers an excellent simulation of the quadratic formula, where you can type in different values for a, b, and c, and then view the change in the answer for x.