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Worksheet
Curated OER

Limits of Composition Functions

For Students 11th - 12th
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.
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Worksheet
Curated OER

The Functional Notation Problem

For Students 9th - 12th
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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Worksheet
Curated OER

Compound Functions

For Students 9th
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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App
Third Rail Games

Factor Samurai

For Students 3rd - 5th Standards
Master composite and prime numbers with this fast-moving game. Using your sword, slice those composite numbers and watch them break up into factors. Slice again if those factors are composite. However, watch out for prime numbers,...
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Lesson Plan
Illustrative Mathematics

Graphs of Compositions

For Teachers 8th - 12th Standards
It might help when working with this resource to give an example of a composition function. For example, the amount of time it takes to get to work depends on the amount of traffic; the amount traffic depends on the time of day....
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Worksheet
Curated OER

Linear Functions

For Students 9th - 11th
In this algebra learning exercise, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
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Lesson Plan
Curated OER

Functions / Domain

For Teachers 11th - Higher Ed
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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Lesson Plan
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
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Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus learning exercise, 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.
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Worksheet
Curated OER

Functions, Domains and Composites

For Students 11th - 12th
In this functions, domains and composites worksheet, students solve and complete 23 various types of problems. First, they graph the given trigonometric function on a coordinate plane. Then, students label three points on each graph and...
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Worksheet
Curated OER

Related Functions

For Students Higher Ed
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,...
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 10th
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.
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
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,...
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Assessment
Concord Consortium

Maintain Your Composition

For Students 9th - 12th Standards
Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
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.
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Assessment
Illustrative Mathematics

As the Wheel Turns

For Students 9th - 12th Standards
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
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Lesson Plan
Curated OER

Application of Function Composition

For Teachers 9th - 12th Standards
Young mathematicians solve composition of functions. They add, subtract, multiply and divide functions and then identify the domain and range of each function. An embedded animation shows three different applications of function...
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Worksheet
Curated OER

Functions

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the end-behavior...
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Worksheet
Curated OER

More Differentiation

For Students 11th - Higher Ed
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...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 3 Review: Differentiation

For Students 10th - 12th
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...

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