Curated OER
Temperature Conversions
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.
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Curated OER
Composition of Functions
In this composition of functions worksheet, learners solve and complete 7 different problems related to various functions. First, they define a function, its domain and range, and also the composition of functions. Then, students solve...
Curated OER
Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
Curated OER
Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Curated OER
The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
Curated OER
Related Functions
In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...
Math Medics
S.o.s. Math: Composition of Functions
This lesson defines Composition of Functions and works several examples. This lesson considers two methods of evaluating compositions, extensively explaining both.
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...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Composition of Functions
A student asks Dr. Math how to evaluate a composite function. Dr. Math gives a systematic way to evaluate composite functions. Be sure to read the second response as well to findout how to evaluate functions of several compositions and...
Math Medics
S.o.s. Math: Inverse Functions
This tutorial contains four lessons on inverse functions (on five pages) including an introduction, inverse functions with no domain restriction, composition of functions, and inverse functions with domain restriction. Includes practice...
Purple Math
Purplemath: Composition of Functions: Composing With Sets of Points
An in-depth lesson that explains the notation and terminology of function composition, and demonstrates how to use composition. Successive pages look at composing functions at points, composing functions with functions, word problems...
Khan Academy
Khan Academy: Verifying Inverse Functions by Composition
Learn how to verify whether two functions are inverses by their composition. Students are given examples and practice problems.
Texas Instruments
Texas Instruments: Numb3 Rs: Perfect Out Shuffles
Based off of the hit television show NUMB3RS, this activity give students a real-life context in which to use both compositions of functions and piecewise functions. The lesson is framed in the context of shuffling cards in such a way so...
Texas Instruments
Texas Instruments: Operations With Function
This question set tests knowledge and skills in arithmetic operations on functions and the composition of functions. Questions are multiple choice and true/false; solutions are provided.
Texas Instruments
Texas Instruments: Functions, Relations, and Inverses
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.
Texas Instruments
Texas Instruments: Learning Pre Calculus With the Ti 89
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
Texas Instruments
Texas Instruments: Functions
With these questions, students will demonstrate knowledge of the definition of a function as well as domain and range. Students will also be asked to find the composition of two functions. Solutions are provided.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Operations With Functions
Learn how to perform operations with functions via viewing problems and step-by-step solutions and completing several practice problems and checking your work.
Math Words
Mathwords: Composition
The site briefly discusses composition of functions and reviews that composition is not commutative. An example is given.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Familia De Funciones. Tipos Y Operaciones
In this unit you will work interactively with family of lines, parabolas, radical functions and trigonometric functions. You will also learn about operations with function, composition of functions and the inverse of a function.
Math Planet
Math Planet: Algebra 2: Polynomial Functions: Composition of Functions
Provides examples and a video lesson that illustrate the composition of functions. [1:44]
McGraw Hill
Glencoe Mathematics: Online Study Tools: Quiz on Composition of Functions
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the topic of composition of functions.