Curated OER
Your Father
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Curated OER
Temperature Conversions
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
Illustrative Mathematics
Graphs of Compositions
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
Curated OER
Parabolas and Inverse Functions
Your Algebra learners will explore what equations are functions or not functions and how to alter the domain to produce a possibility for the relations being a function with a limitted domain.
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes...
Curated OER
US Households
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
Curated OER
Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra....
Illustrative Mathematics
Rainfall
Ideal for use as an introduction to the idea of inverse functions, this activity investigates rainfall as a function of time. Learners use the data displayed in a table of values to analyze the function and its inverse, including why the...
Illustrative Mathematics
Invertible or Not?
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Illustrative Mathematics
Temperatures in degrees Fahrenheit and Celsius
Learners investigate the relationship between the Fahrenheit and Celsius temperature scales. Given two data points, they construct a linear function to describe the relationship, find the inverse of the function, and make observations...
Cool Math
Coolmath: How to Tell if Two Functions Are Inverses
Use this tutorial to find out if two functions are inverses.
![Cengage: Inverse Trigonometric Functions [Pdf] Activity](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Cengage: Inverse Trigonometric Functions [Pdf] Activity")
Cengage Learning
Cengage: Inverse Trigonometric Functions [Pdf]
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
Texas Instruments
Texas Instruments: Functions, Relations, and Inverses
This set of questions pertains to definition of functions, relations, inverses, and composition. Questions are multiple choice, true/false, and short answer. Solutions and explanations are included.
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.
University of North Carolina
University North Carolina Wilmington: Inverse Functions
Take a look at inverse functions from their definition to graphing them. This site also shows you how to find the inverse of a function.
eFunda
Engineering Fundamentals: Hyperbolic Functions
A complete list of hyperbolic functions, plots of hyperbolic functions, and formulas. Includes links to related topics.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Relations and Functions
Hotmath provides eighteen practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Functions
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
Analyze Math
Analyze Math: Inverse Trigonometric Functions
The mathematics tutorial examines inverse trigonometric functions. The tutorial consists of explorations and examples. The interactive applet allows students to investigate domain, range, and graphs of inverse trigonometric functions.
Cool Math
Coolmath: Inverse Functions What Are They and What Do They Do?
Get the basics of inverse functions in this tutorial.
Cool Math
Coolmath: Inverse Functions the Picture Two Big Things to Know
This tutorial illustrates big ideas of inverse functions.