Worksheet
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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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Graphing Functions

For Students 9th - 12th
In this graphing functions activity, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page activity...
Lesson Plan
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Exercise Set 1.4: Operations on Functions

For Teachers 9th - 12th
In this composition functions worksheet, high schoolers solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  High schoolers find the domain of various functions.
Lesson Plan
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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...
Interactive
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Present Continuous

For Students 6th - 10th
In this present continuous worksheet, students write numbers next to sentences and determine if a verb can be used in the present continuous tense. Students complete 60 problems total.
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Graphing Rational Functions

For Teachers 9th - Higher Ed Standards
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Worksheet
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Evaluating Functions

For Students 10th - 12th
In this solving functions instructional activity, students compute the answers to given values of a variety of functions. One problem involves absolute value, four involve a complicated exponential value. There are 14 problems in all.
Worksheet
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Operations on Functions

For Students 9th - 12th
In this operations and functions worksheet, students add, subtract, multiply, and divide functions.  This one-page worksheet contains 18 multi-step problems. 
Lesson Plan
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Operations with Functions Including Composition

For Teachers 9th - 12th
Students explain functions.  For this function lesson, students solve functions.  Groups of students develop strategies to perform operations with functions.  They write test questions using functions which include all...
Lesson Plan
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Graphing Quadratic Functions

For Teachers 9th - 10th
In this math worksheet, students write 8 equations of the axis of symmetry and find the coordinates of each quadratic function. Students graph 4 of the equations and state if the vertex is maximum or minimum.
Worksheet
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Functions of Two Variables

For Students Higher Ed
In this functions worksheet, 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 find the...
Worksheet
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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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Graphing Polynomial Functions

For Students 11th
In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Lesson Plan
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Graphs of Quadratic Functions

For Teachers 9th - 12th
In this quadratic function worksheet, students solve and graph quadratic functions. Functions contain both positive and negative integers, fractions, and perfect squares. Graph paper is located below each equation. There are 36...
Worksheet
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Function Tables

For Students 11th
In this function tables activity, 11th graders solve 10 different problems that include completing various function tables. First, they read and identify each rule given for the tables. Then, students use the rule to determine the input...
Worksheet
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Graphing Quadratic Functions

For Students 9th - 11th
In this graphing quadratic functions worksheet, students create a function table and graph quadratic functions. This four-page worksheet contains 33 problems. A graph is supplied with each function. One example is provided at the...
Worksheet
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Chapter 7. Functions and Graphs

For Students 9th - 11th
In this functions and graphs worksheet, students determine the domain and range of a given relation.  They graph functions on a coordinate plane and write equations in the slope-intercept form.  This twelve page worksheet...
Worksheet
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Quadratic Functions

For Students 10th - 11th
In this algebra activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
Lesson Plan
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Graphing Calculator Investigation - Second Degree Polynomial Functions

For Teachers 9th - 12th
Students solve quadratic functions. In this solving quadratic functions lesson, students determine the height of an object at a given time. Students determine the time at which an object hits the ground. Students answer questions...
Worksheet
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Functions and Relations

For Students 11th
In this functions and relations worksheet, 11th graders solve and complete 15 various types of problems. First, they find the slope and y-intercept for each function given. Then, students find the slope of the line passing through the...
Lesson Plan
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Function Problems

For Teachers 11th - Higher Ed
In this function worksheet, students use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of people in...
Worksheet
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Function Tables and Money

For Students 5th - 7th
In this function tables, money worksheet, 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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Graphs of Functions

For Students 10th - 12th
In this graphs of functions instructional activity, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This...
Lesson Plan
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Functions & Algebra

For Teachers 8th - 10th
Students examine linear equations. In this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.

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