Mathematics Archives
Math Archives: Visual Calculus: Functions
Use this site to find the defintion of a function. The site offers a discussion on the vertical line test, symbolic, numerical and verbal discussions on the definition of a function.
Math Medics
S.o.s. Math: Inverse Functions, No Domain Restrictions
A good S.O.S. Math lesson on inverse functions with examples on inverse functons.
Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
Math Medics
S.o.s. Math: Hyperbolic Functions
This math lesson gives formulas for the hyperbolic trigonometric functions, a very most important property of their version of the Pythagorean Theorem, and it's verification, and many helpful visual aides.
Math Medics
S.o.s. Math: Inverse Functions With Restricted Domains
This math lesson allows you to look at inverse functions to decide which parts are one-to-one and which parts are not one-to-one.
Analyze Math
Analyze Math: Table for the 6 Trigonometric Functions for Special Angles
Learners explore the special angles for the six trigonometric functions. The special angles can be used to solve trigonometry problems. The table gives the values of sine, cosine, tangent, cotangent, secant, and cosecant for special angles.
Math Words
Math Words: Step Function
This MathWords.com site describes a step function by offering the defining graphical characteristics.
Analyze Math
Analyze Math: Identify Graphs of Functions
Learners examine graphs of algebraic functions. Four graphs are given and students identify the corresponding algebraic function. The activity includes examples with detailed solutions.
![Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf] PPT](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf] PPT")
Other
Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]
This slideshow explains how to verify by composition that two functions are inverses of each other.
Analyze Math
Analyze Math: Graphs of Rational Functions
Students explore the graph of a rational function given by its formula. The tutorial examines vertical and horizontal asymptotes. The activity consists of examples with solutions.
Anne Arundel Community College
Anne Arundel Community College: Math 131: Applications
The tutorial examines exponential function applications. Students learn about the mathematics concept through examples with detailed solutions.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: The Equation of a Straight Line
Here is a site that clearly and thoroughly explains linear functions and the equation of a straight line. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
University of California
Average Value of a Function
This site contains a PowerPoint presentation on the average value of a function.
Sophia Learning
Sophia: Algebra I: Exponential Functions in the Real World: Lesson 3
This lesson will provide real world examples that involve graphing exponential functions. It is 3 of 5 in the series titled "Exponential Functions in the Real World."
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Symmetry
Here is a site that clearly and thoroughly explains the symmetry of even and odd functions and how to test for these types of symmetry. There are example problems solved, problems for the student to attempt, and answers to the student...
Math Medics
S.o.s. Math: Exponential Functions
S.O.S. Math provides overviews, that include graphs, of the exponential function and the logarithmic function.
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Mathematics Archives
Math Archives: Visual Calculus: Scaling of Functions
Draw the graphs of the functions y = f(x), y = f(2x), and y = f(x/2), for practice with scaling.
Math Medics
S.o.s. Math: Hyperbolic Functions
This lesson defines and explains hyperbolic functions. It has graphs and examples for the student to examine.
Anne Arundel Community College
Anne Arundel Community College: Math 131: Basic Graphs and Properties
The tutorial examines basic exponential graphs and their properties. Students learn about the mathematics concepts through examples with detailed solutions.
Anne Arundel Community College
Anne Arundel Community College: Math 131: More Graphs
The tutorial examines exponential graphs and their properties. Students learn about the mathematics concepts through examples with detailed solutions.
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