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
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
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...
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...
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...
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....
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.
Texas Instruments
Texas Instruments: Inverse Functions
Review inverse functions with your students using this TI-83 activity. Students will find inverses of given functions, determine whether the inverse is a function, graph both, and check for symmetry through the line y=x. The lesson...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Inverse Functions
Over thirty problems present a variety of practice with inverse functions. Solutions are provided with paid subscription.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing and Functions
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Wolfram Research
Wolfram Mathworld: Inverse Function
Site gives a definition of the inverse function as well as the example of the inverse of f(x)=x. Also included are formulas and links to related sites.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
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.
Math Medics
S.o.s. Math: Logarithms and Exponential Functions
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
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.
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...
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Other
Universite De Nice Sophia Antipolis: Graphic Inverse
An introduction to the graphic inverse with many examples the student can work on-line.
Wolfram Research
Wolfram Math World: Inverse Tangent
This site is all about inverse tangents. The site includes a definition, color graphs, formulas, and many links to related terms.
Wolfram Research
Wolfram Math World: Inverse Sine
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.
Wolfram Research
Wolfram Math World: Inverse Cosine
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.
Richland Community College
Richland Community College: Logarithmic Functions
This site from Richland Community College includes basic definition, properties, and graph of the logarithmic function.