Curated OER
Parent Functions Review Sheet
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
Curated OER
Math Handbook: Trigonometry
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Curated OER
Pre-Calculus Review Sheet
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.
K12 Reader
5th Grade Master Spelling List
Here's a spelling program that includes 36 lists of 21 words and 20 suggestions for weekly activities. Each list includes common and proper nouns, sight words, academic vocabulary, and words built on a specific Greek roots.
Math Open Reference
Math Open Reference: Function
A complete reference guide to functions including how to use functions, inverse functions, graphing a function, and functions in computer programming. It provides definitions and examples that enhance further explanation.
Math Medics
S.o.s. Math: On Inverse Functions With Restricted Domains
Offers a step-by-step explanation of a one-to-one function problem on inverse functions with restricted domains, clearly using the horizontal line test. Includes sample problems.
University of Toronto (Canada)
University of Toronto: How to Graph the Inverse of a Function
This site explains how to graph an inverse function.
Paul Dawkins
Paul's Online Notes: Algebra: Inverse Functions
Detailed math tutorial features notes and examples that take a look at the process of finding inverse functions. It also defines one-to-one functions.
Johan Claeys
Math Abundance: Inverse Trigonometric Functions = Cyclometric Functions
Explains the inverse trigonometric functions using examples.
Duke University
Duke University: Inverse Functions
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
Wolfram Research
Wolfram Mathworld: Inverse Hyperbolic Tangent
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.
Purple Math
Purplemath: Graphing Logarithmic Functions: Intro
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...
Oswego City School District
Regents Exam Prep Center: Algebra 2: Definition of Inverse Function
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...
Oswego City School District
Regents Exam Prep Center: Graphically Represent the Inverse of a Function
Investigates how to graph the inverse of a function. There is also an explanation that involves the use of a graphing calculator.
Purple Math
Purplemath: Inverses of Trigonometric Ratios
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...
Johan Claeys
Math Abundance: Hyperbolic Functions and Inverses
Site has information and examples for topics about hyperbolic functions and inverses.
Purple Math
Purplemath: Proving That Two Functions Are Inverses of Each Other
This resource explains how to verify that two functions are inverses of each other.
Math Medics
S.o.s. Math: Inverse Functions With No Domain Restrictions
This lesson gives an example of an inverse function with no domain restrictions.
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