CK-12 Foundation
Horizontal Translations or Phase Shifts: Horizontal Translations
Find out what causes a function to slide. Pupils move a function along the x-axis and see the resulting change in its equation. Scholars determine the effects that the translation has on the intercepts, domain, and range of the function.
Flipped Math
Unit 8 Review: Functions
Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...
Curated OER
Calculus Worksheet: Limits of Functions (1)
Learners sketch the graph of 4 functions and define the domain and range of each.
Curated OER
Parabolic Equations
In this parabolic worksheet, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page worksheet...
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Relations and Functions
For this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...
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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...
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Topic 2.1 - Relations and Functions
In this function worksheet, students state the domain and range of 2 functions. They then determine whether 7 relations are functions or not. Finally, students solve 6 problems in which they find the value of a specific function.
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Dog Days or Dog Years?
In need of some algebraic fun with real world implications?Learners use ordered pairs, a table of values and a scatter plot to evaluate the validity of several real world data sets. The class focuses on dog ages in human...
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Domian and Range of Graphs
High schoolers determine the domain and range of various graphs using a graphing calculator. Given a set of graphs to analyze, learners calculate the range and domain of the graphs by plotting the graphs on their calculators. Downloads...
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Investigating Domains
In this algebra learning exercise, students graph polynomials and find the domain and range by examining the graphs. There are 6 problems with graphs drawn.
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Worksheet 11
In this math worksheet, middle schoolers define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Domain of Functions
In this domain of functions worksheet, students find the domain of given functions. They simplify functions containing square roots and exponents. This one-page worksheet contains 4 problems.
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Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Alabama Learning Exchange
Building Functions: Reverse to Inverse
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
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Four Steps to Find Inverse Functions
In this inverse functions reference worksheet, young scholars are presented with the four sets used to find an inverse function given a function equations.
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Piecewise-Defined Functions 2
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
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Piecewise-Defined Functions 1
In this piecewise-defined function, pupils explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten problems...
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Graphs
In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
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Worksheet 4, Functions
Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...
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...
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Lesson 2: Introduction to Equations & Why We Can Solve Equations
In this equations instructional activity, students explore mathematical expressions. They solve algebraic equations with one variable and identify the domain and range. This five-page instructional activity contains detailed...
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Complex Analysis: Function
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
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Chapter 5 - Objective 5.1 Linear Equations
In this linear equations learning exercise, students graph linear equations and identify the domain and range of each function. This one-page learning exercise contains five problems.
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ESP Quiz 2
Students solve five short answer (computation) problems, with three sets of instructions. Two problems require students to find the domain or range of a function. They evaluate limits problems, making proper use of limit notation for the...