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Quadratic Functions - Max and Min

For Teachers 9th - 11th
Young scholars identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
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More Complicated Functions: Introduction to Linear Functions

For Teachers 9th - 12th
Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in...
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Polynomial Functions

For Teachers 11th - 12th
Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation...
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Function Investigation

For Students 11th
In this functions learning exercise, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will...
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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...
Worksheet
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Writing a Function Rule

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page worksheet contains four multiple choice problems.  Answers...
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Graphing Linear Equations

For Teachers 8th - 10th
Pupils graph linear equations. In this algebra lesson, students perform transformation on linear equations. They identify the slope and y-intercept of each line.
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Worksheet 9, Rational Functions

For Teachers 9th - 10th
In this algebra worksheet, students 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 graph...
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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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Integrating Functions

For Students 6th - 8th
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Function Families

For Students 8th - 12th
For this function families worksheet, students graph 6 families of absolute value equations on a graphing calculator and transfer a sketch to graph paper. Students then answer 8 questions to identify the vertex.
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Reciprocals of Quadratic Functions

For Teachers 11th
Eleventh graders investigate inverse functions.  In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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High School Examination: Algebra 2/Trigonometry

For Teachers 10th - 12th
In this high school worksheet, students solve problems involving angles, functions, square roots, and sequences.  They read word problems, write equations, and then solve them.  This 28-page worksheet contains 39 problems. 
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Composition of Functions

For Teachers 9th - 12th
Students solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
Worksheet
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The Derivative As a Function

For Students Higher Ed
For this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately...
Worksheet
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Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II activity, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page activity contains five problems that relate to the...
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The Function Box

For Teachers 3rd - 12th
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
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Products of Linear Functions

For Teachers 8th - 10th
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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Properties of Logarithmic Functions

For Teachers 8th - 10th
Students solve exponential functions. In this algebra instructional activity, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus activity, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page activity contains nine problems. Answers are not provided.
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Rational Functions

For Teachers 10th - 12th
In this algebra worksheet, students solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
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Applications of Quadratic Functions

For Students 11th - Higher Ed
In this math worksheet, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
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Logarithmic Functions as Inverses

For Students 10th - 12th Standards
In this algebra worksheet, learners solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.

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