Worksheet
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Composition of Functions and the Chain Rule

For Students Higher Ed
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...
Worksheet
Curated OER

Topic 2.1 - Relations and Functions

For Students 7th - 9th
In this function instructional activity, 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...
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Relations and Functions

For Students 8th - 10th
In this relations and functions learning exercise, students answer 5 multiple choice questions that involve finding domain and range and function notation.
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Complex Analysis: Function

For Students Higher Ed
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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Reviewing Functions

For Students Higher Ed
In this function activity, students describe a function and write six different ways a function may be modeled. This two-page activity contains eight problems.
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Domain of Functions (2)

For Students 9th - 12th
In this function worksheet, high schoolers identify the domain of the given functions. Functions contain exponents and square roots. This one page worksheet contains three multi-step problems.
Worksheet
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Inverse Functions 8-8

For Students 9th - 10th
In this inverse function worksheet, students find the inverse function of given values. This two-page worksheet contains 12 multi-step problems.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function learning exercise, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page learning exercise contains approximately ten problems.
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Linear Functions and Piecewise Linear Functions

For Students 12th - Higher Ed
An activity that could function as a review or as a quiz, this instructional activity prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They...
Worksheet
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Algebra II Review: Exponential Functions and Logarithms

For Students 9th - 11th
In this Algebra II review:  exponential functions and logarithms worksheet, students solve 19 problems, including making graphs, simplifying and evaluating.
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Graphing Logarithms

For Students 9th - 11th
In this logarithms learning exercise, students identify the domain and range of given logarithms. They sketch the graph on a coordinate plane. This four-page learning exercise contains 12 multi-step problems. Answers are provided on the...
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Graphs of Functions

For Students 11th
In this algebra worksheet, 11th graders graph functions and identify properties of each functions. They find the domain and range, along with the asymptote. There are 4 questions on this worksheet.
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Relations and Functions

For Students 11th
In this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function.  The three page worksheet contains explanation and eighteen practice problems.  Answers...
Worksheet
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Functions

For Students 7th - 9th
In this functions learning exercise, learners determine whether a correspondence is a function. They graph given functions. Students examine graphs and identify functions. This two-page learning exercise contains 22 problems.
Worksheet
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Discussion Sheet 1: Domain & Range of a Function

For Students Higher Ed
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
Worksheet
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Functions

For Students 9th
In this functions worksheet, 9th graders solve and complete 12 different multiple choice problems. First, they use the function machine shown to determine the value of a number. Then, students find the zero of various functions. They...
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Challenge Discussion Sheet 1: Function

For Students Higher Ed
In this function discussion sheet, students determine the domain and range of each function and sketch the graph of each. They determine limits of given functions. This one-page activity contains thirteen problems.
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Inverse Trig Functions: Domain and Range

For Students 9th - Higher Ed
In this trigonometric functions worksheet, learners calculate the domain and range of the three basic trig functions. There are 6 equations.
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Linear Algebra

For Students 12th - Higher Ed
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
Lesson Plan
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Teach Engineering

Coordinates and the Cartesian Plane

For Teachers 7th - 9th Standards
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson plan in a series of nine....
Worksheet
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Domain and Range

For Students 9th
In this domain and range worksheet, 9th graders solve and complete 3 various types of problems. First, they find the domain of each function shown. Then, students find the range for each function. They also find the domain and range of...
Lesson Plan
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Finding Function Values

For Teachers 9th - 10th
In this function worksheet, young scholars find the value of functions by a given domain. There are six functions on this one-page worksheet.
Worksheet
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Graphs of Functions

For Students 9th
In this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...