Curated OER
Math Honors 2: Semester 1 Review
In this activity, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page activity...
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
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson plan, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
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Composite Functions and Inverse Functions
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises. The concepts covers include: composite functions, inverse functions, graphs of...
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Function Composition
High schoolers solve two functions at once. In this algebra lesson, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
Curated OER
Exercise Set 1.4: Operations on Functions
In this composition functions worksheet, students solve 54 short answer problems. Students find the composition of functions such as f of g and f + g. Students find the domain of various functions.
Curated OER
Limits of Composition Functions
In this limits worksheet, students find the limits of 9 composition functions. Students evaluate limits for each function at a specific value or as it approaches any value.
Curated OER
Calculus 30 - Typical Exam Questions
In this limits and functions worksheet, students solve 30 short answer questions about calculus Students find limits, domain, range, tangent lines, derivatives, and composition functions.
Curated OER
More Differentiation
In this differentiation worksheet, students solve and complete 8 various types of problems. First, they differentiate each of the equations listed. Then, students find an equation of the tangent to the curve at a given point. They also...
Curated OER
Worksheet 10, Functions and Inverses of Functions
In this algebra worksheet, students find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
Curated OER
Composition of Functions
Learners 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
Young scholars solve problems using the composition of functions. For 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,...
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The Functional Notation Problem
In this composite functions worksheet, students solve 1 composite functions problem by finding f(2x) in terms of f(x). Students use a rational function when finding f(2x).
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Compound Functions
In this compound functions worksheet, 9th graders solve 12 different problems that include determining the value of various functions. First, they take the y-value answers from one function and change it to the domain or x-values of the...
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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,...
Curated OER
Composition Of Functions
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson plan for guided practice with scaffolding provided by the teacher.
Curated OER
Finding the Limit of Composite functions
In this pre-calculus activity, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
Curated OER
Algebra II - Lesson 9.4: Operations with Functions
In this composition functions worksheet, students solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.
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...
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: Two Functions or Not Two Functions:
Students create original artwork using all functions and conics studied throughout the course. Lines and absolute values, conic sections and whatever else they can stick in a y= are combined with some calculator tricks to make works of...
Texas Instruments
Texas Instruments: Algebra Ii and the Ti 83+
This session will examine how the TI-83+ can be used to improve instruction in Algebra II classes. We will look at different objectives from the Algebra II curriculum and examine several ways that calculators can improve student...
Texas Instruments
Texas Instruments: Video Tutorial Learn How to Evaluate Composite Functions
In this video, you will see how to evaluate composite functions both numerically on the home screen and through the graph screen.