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Function and Graphs

For Teachers Higher Ed
In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither.  The four page...
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Composition of Functions

For Teachers 9th - 12th
Learners solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Introduction to Inverse Functions

For Teachers 10th - 12th
Students investigate patterns of inverse functions. In this algebra lesson, students represent functions with the calculator and on paper. They analyze their data and draw conclusions.
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Graphing Linear Functions

For Teachers 7th
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
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New Functions From Old, Part 1

For Students Higher Ed
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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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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Products of Linear Functions

For Teachers 8th - 10th
Pupils investigate the horizontal intercepts of functions. In this algebra lesson plan, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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Comparing Exponential and Power Functions

For Teachers 9th - 12th Standards
Students compare and contrast exponential and power functions. In this precalculus lesson plan, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.
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What's My Rule? Simple Linear Functions

For Teachers 6th - 8th
Students investigate simple linear functions by trying to guess a function rule from inputs and outputs. They write the function rule in algebraic form.
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Introduction to Linear Functions

For Teachers 9th - 12th
Young scholars are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are...
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Functions / Domain

For Teachers 11th - Higher Ed
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Applications Of Rational Functions

For Teachers 9th - 12th
Students engage in a instructional activity that is about relational functions with the application of methods to real life problem situations. They use the examples found in the instructional activity for the purpose of practice during...
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Which Graphs are Functions?

For Students 9th - 10th
In this graphing worksheet, students use the vertical line test to determine if graphs are functions. This two-page worksheet contains 8 problems.
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Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
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Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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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...
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Functions

For Students 11th
In this functions worksheet, 11th graders solve 10 different problems that include various functions of domain. First, they determine the domain of a given function. Then, students determine the range of another function. They also...
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VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.

For Teachers 7th - 8th
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
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Rational Functions and Their Graphs

For Students 11th
In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page activity contains explanation of topic, several...
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Linear Functions

For Teachers 5th
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
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Identifying Functions

For Teachers 9th - 12th
Students, after completing a warm up exercise on one proportion word problem, distinguish between functions and non-functions. They identify domain and range on a function as well as recognize and implement function notation. They solve...
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Reflections of a Linear Function

For Teachers 9th - 12th
Students reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions using the website www.explorelearning.com.
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Composition Of Functions

For Teachers 9th - 12th
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the instructional activity for guided practice with scaffolding provided by...
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Worksheet 9, Rational Functions

For Teachers 9th - 10th
In this algebra worksheet, young scholars tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the...

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