Unit Plan
CK-12 Foundation

Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Composition of Functions

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Graph and compare inverse variation equations and rational functions.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometric Functions of Angles Greater Than 360 Degrees

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Finding the value for trigonometric functions for angles exceeding 360 degrees.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Operations on Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to add, subtract, multiply, divide and compose two or more functions. Students examine guided notes, review guided practice, watch...
Handout
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.6 Transformations of Trigonometric Functions

For Students 9th - 10th Standards
Explore how changes to the equations of sine and cosine functions affect the graphs of the functions through transformations (stretches and shifts).
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Applications of Exponential Functions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to use exponential functions in real-life situations. Students watch a video tutorial, explore guided notes and attempt practice problems.
Activity
Math Medics

S.o.s. Math: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This tutorial shows step by step how the inverse of the hyperbolc cosine function is derived.
Handout
Wolfram Research

Wolfram Mathworld: Inverse Hyperbolic Tangent

For Students 9th - 10th
This site displays a graph of the inverse Hyperbolic Tangent, gives the algebraic formula for both the real and the complex systems, special values related to the hyperbolic tangent function, and the Maclaurin Series for this function.
Activity
Wolfram Research

Wolfram Math World: Inverse Cosine

For Students 9th - 10th Standards
A site that deals with inverse cosine. Article includes the definition, formulas including the Maclaurin series for the inverse cosine function, and examples, as well as numerous links to related terms.
Activity
Wolfram Research

Wolfram Math World: Inverse Tangent

For Students 9th - 10th Standards
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
Activity
Wolfram Research

Wolfram Math World: Inverse Sine

For Students 9th - 10th Standards
This is a math site on the inverse of sine. Includes charts, color graphs, formulas including the Maclaurin series, as well as links to math terms and subject areas used within the site.
Activity
Richland Community College

Richland Community College: Logarithmic Functions

For Students 9th - 10th Standards
This site from Richland Community College includes basic definition, properties, and graph of the logarithmic function.
Handout
Purple Math

Purplemath: Graphing Logarithmic Functions: Intro

For Students 9th - 10th Standards
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...
Handout
Oswego City School District

Regents Exam Prep Center: Algebra 2: Definition of Inverse Function

For Students 9th - 10th Standards
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...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Inverse Functions

For Students 9th - 10th Standards
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.
Unit Plan
Windstream

Ojk's Precalculus Study Page: Inverse Trig Functions

For Students 9th - 10th Standards
An introduction to the inverse trigonometric functions, concentrating on the domain restrictions, which are explained graphically. Several examples and exercises with solutions are included, as well as a quiz.
Handout
Oswego City School District

Regents Exam Prep Center: Graphically Represent the Inverse of a Function

For Students 9th - 10th Standards
Investigates how to graph the inverse of a function. There is also an explanation that involves the use of a graphing calculator.
PPT
Other

Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]

For Students 9th - 10th Standards
This slideshow explains how to verify by composition that two functions are inverses of each other.
Handout
Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
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...
Handout
Johan Claeys

Math Abundance: Hyperbolic Functions and Inverses

For Students 9th - 10th Standards
Site has information and examples for topics about hyperbolic functions and inverses.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: One to One Functions and Their Inverses

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and exploration of 1 to 1 functions and their inverses
Unknown Type
Khan Academy

Khan Academy: Verify Inverse Functions

For Students 9th - 10th Standards
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.

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