Curated OER
Composition of Functions
In this composition of functions learning exercise, 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...
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, 10th graders solve 10 different problems that include determining the composition of various given functions. First, they use the two given functions to determine the composition in each...
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,...
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)).
Curated OER
Composition of Functions
In this composition of functions worksheet, 11th graders solve and complete 11 different problems. First, they find the value of x in each of the given functions. Then, students determine the value of both compositions in each function.
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...
Curated OER
The Algebra and Geometry of Inverse Functions
In this inverse functions worksheet, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank questions...
Curated OER
Inverse Functions
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
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
Worksheet 12: Functions
For this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Curated OER
Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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...
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...
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....
Curated OER
Graphs of Functions
In this function worksheet, students sketch graphs of functions, write functions as a composition of two or three functions, and differentiate functions. This three-page worksheet contains approximately 33 problems.
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
Curated OER
Worksheet 7.4 Function Composition
In this function composition activity, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page activity contains twelve multi-step problems.
Curated OER
Related Functions
In this function activity, 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 activity contains examples,...
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...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
Curated OER
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.