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.

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...

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...

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...

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....

Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.

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.

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...

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...

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...

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....

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...

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...

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.

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...

This algebra lesson explains how to do composition of functions.

The free mathematics tutorial investigates solving inverse trigonometric functions. The tutorial consists of examples with solutions, theorems, and practice exercises.

Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...

This tutorial shows step by step how the inverse of the hyperbolc cosine function is derived.

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.

Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....

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.

A complete list of hyperbolic functions, plots of hyperbolic functions, and formulas. Includes links to related topics.

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.