Worksheet
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Relation, Function, Domain, & Range

For Students 9th - 12th
In this relation, function, domain, and range worksheet, students answer 6 open-ended questions about relations and functions.  Students determine the domain and range of a function.  Students give examples and non-examples of...
Lesson Plan
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Worksheet 10: Continuous Functions

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
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Worksheet 12 - Differentiable Functions

For Teachers Higher Ed
In this differentiable function worksheet, students identify differentiable functions and calculate the derivative of a function. This two-page worksheet contains eight multi-step problems.
Lesson Plan
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Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, young scholars review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the...
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The Algebra and Geometry of Inverse Functions

For Students Higher Ed
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...
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Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, students graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Interactive
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Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
In this calculus activity, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
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Exercise Set 1.4: Operations on Functions

For Teachers 9th - 12th
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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Linear and Quadratic Functions

For Teachers 11th
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
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Math 155 - Fall 2002 Worksheet 3: Continuity

For Students 11th - 12th
In this continuity worksheet, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.
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The Integration of Exponential Functions

For Students 11th - 12th
In this calculus instructional activity, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
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Functions of Two Variables

For Students Higher Ed
In this functions learning exercise, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students...
Worksheet
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Rational Functions

For Students 9th - 11th
In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35...
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Quadratic Functions

For Students 10th - 11th
In this algebra instructional activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
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Dr. Nestler's Math 2 Pre-calculus

For Students 7th - 11th
Students are given a description of a scenario of Professor Fink searching for a group of children. When he finds them, he states that he can express their location as a function of his hand. Students analyze the scenario and determine...
Worksheet
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Graphing From Function Tables

For Students 6th - 7th
In this graphing from function tables worksheet, students graph given functions from a completed function table. This is a worksheet generator, the teacher can set the grid size for plotting points as well as whether or not to include a...
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Algebra: Variable and Functions (Homework 21.4)

For Students 5th - 6th
In this algebra worksheet, students complete 4 function tables. Students plug in the different values for x to complete the y sides of the charts.
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Exponential Functions

For Students 9th
In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
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Inverse Functions and Relations

For Students 11th
In this inverse functions and relations worksheet, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the inverse of...
Worksheet
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Operations on Functions

For Students 9th - 12th
In this operations and functions worksheet, learners add, subtract, multiply, and divide functions.  This one-page worksheet contains 18 multi-step problems. 
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Piecewise Linear Functions and Excel

For Students Higher Ed
In this linear function worksheet, students use Excel worksheets to solve piecewise linear functions. They plot functions and produce piecewise linear functions. This six-page worksheet contains detailed instructions on how to use...
Worksheet
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Function Tables and Money

For Students 5th - 7th
In this function tables, money activity, students examine 2 different function tables, where they are given input information. Students determine the rule of the function table, then calculate the missing output values. The first table...
Worksheet
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One to One Functions

For Students 9th - 12th
In this one to one functions instructional activity, learners solve 27 short answer and graphing problems.  Students determine if a function is one to one given a graph or an equation.  Learners graph functions to determine if...
Worksheet
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Graphing Linear Functions

For Students 9th
In this linear functions learning exercise, 9th graders solve and complete 30 different multiple choice problems that include graphing. First, they determine the expression that is equivalent to the given expression. Then, students...

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