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Wolfram Research
Wolfram Math World: Function
Site offers a definition of a function. This definition may be difficult to grasp if you are not familiar with the mathematical language, however if you carefully read the definition, examples, and go to related links for unfamiliar...
Paul Dawkins
Paul's Online Notes: Algebra: Graphing Functions
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
CK-12 Foundation
Ck 12: Trigonometry: Inverses of Trigonometric Functions
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the domain and range of inverse trigonometric functions by utilizing the reflection principle.
Texas Education Agency
Texas Gateway: Determining the Domain and Range for Linear Functions
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
CK-12 Foundation
Ck 12: Analysis of Logarithmic Graphs: Graphs of Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...
Paul Dawkins
Paul's Online Notes: Exponential Functions Practice Problems
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
Savvas Learning
Math Captain: End Behavior
This site provides an explanation of the end behavior of functions. Covers end behavior as it relates to function models, rules, polynomials, asymptote, functions, and graphs.
Wolfram Research
Wolfram Math World: Graphs
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Math Open Reference
Math Open Reference: Range of a Function
Learn about Range of Function with this reference guide. Detailed explanations and examples are given.
Illustrative Mathematics
Illustrative Mathematics: F if Graphing Rational Functions
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F if Using Function Notation Ii
The purpose of the task is to explicitly identify a common error made by many students in function notation, when they make use of the "identity" f(x + h) = f(x) + f(h). Aligns with F-IF.A.2.
CK-12 Foundation
Ck 12: Algebra: Graphs of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...
Analyze Math
Analyze Math: Periodic Functions
The interactive tutorial examines periodic functions. Learners use the applet to manipulate the shape, period, and shift of periodic functions.
Khan Academy
Khan Academy: Transforming Functions
Practice transforming functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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."
University of Cambridge
University of Cambridge: Maths and Sports: Making a Racket: The Science of Tennis
As London is heading for the 2012 Olympics, it's not just athletes who are gearing up for action. Engineers, too, are working hard to produce the cutting-edge sporting equipment that guarantees record performances. If you're a tennis...
CK-12 Foundation
Ck 12: Trigonometry: Applications of Inverse Trigonometric Functions
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to apply inverse trig functions to solve problems you would see in real-life situations.
Analyze Math
Analyze Math: Newton's Method to Find Zeros of a Function
Students learn about Newton?s method. Newton?s method is an example of how differentiation is used to find zeros of functions and solve equations numerically. The tutorial consists of examples with detailed solutions.
Math Planet
Math Planet: Algebra 1: Linear Equations in the Coordinate Plane
Provides examples and a video lesson that illustrates how to graph a linear equation.
Math Open Reference
Math Open Reference: Average Value
A complete reference guide to the average value. It provides a definition and examples that enhance further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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