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Exploring Functions and Their Derivatives
Learners explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Function Machines
Sixth graders complete a function table and determine a rule for the use of one. They graph different functons from the tables. The analogy of a machine is used as an example for teaching students about functions.
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Related Functions
In this function learning exercise, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page learning exercise...
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Some Explorations With Even And Odd Functions
In this math worksheet, learners explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
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Function and Graphs
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
Students 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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Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Polynomial Functions
Learners explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Learners determine the regression equation...
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Introduction to Inverse Functions
Pupils investigate patterns of inverse functions. For 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
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
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
In this inverse function activity, students find the inverse function of given values. This two-page activity contains 12 multi-step problems.
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Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra lesson, 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
Students compare and contrast exponential and power functions. In this precalculus instructional activity, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of...
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What's My Rule? Simple Linear Functions
Young scholars 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
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
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
Young scholars engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction....
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Which Graphs are Functions?
For 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
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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VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this instructional activity, students investigate functions using variables, patterns book, graph paper, rulers and the...
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Exponential Growth and Exponential Functions
Students explore the concept of exponential functions. In this exponential functions lesson, students model exponential growth about a high school population using an applet. Students manipulate the applet to show the effect that a...
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Functions of Two Variables
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
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...
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