Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
Curated OER
Composition of Functions
In this composition of functions worksheet, students 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
Easy Worksheet: Composition Functions
What should a function worksheet look like? This demo worksheet show the type of product that can be made using easyworksheet.com. It is composed of 4 problems, composition function of f(g(x)) given the f(x) and g(x) functions. Learners...
Illustrative Mathematics
Exponentials and Logarithms II
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
Curated OER
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...
Curated OER
Math Honors 2: Semester 1 Review
For this worksheet, 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 worksheet...
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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.
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Limits of Composition Functions
For 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
Functions, Domains and Composites
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...
Concord Consortium
Maintain Your Composition
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)).
Illustrative Mathematics
As the Wheel Turns
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...
Illustrative Mathematics
Graphs of Compositions
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....
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
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...
Curated OER
The Functional Notation Problem
In this composite functions worksheet, learners solve 1 composite functions problem by finding f(2x) in terms of f(x). Students use a rational function when finding f(2x).
Illustrative Mathematics
Temperature Conversions
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
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.
Illustrative Mathematics
Flu on Campus
An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...
Curated OER
Derivatives of Composite Functions
In this derivatives of composite functions instructional activity students examine given functions and identify the derivative of the composite function. This one-page instructional activity contains 1 multi-step problems.
Curated OER
Algebra II - Lesson 9.4: Operations with Functions
In this composition functions worksheet, learners solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.
Curated OER
Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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...