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Rational Functions
Through a mini assessment, high schoolers identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a...
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Building Boxes- Polynimial And Rational Functions
Students investigate the concepts of polynomial and rational functions. They identify the general patterns used to solve problems. The use of real world contexts in the problems helps to promote engagement and understanding of how the...
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Finding the Limit: Piecewise Functions and Graphs
This pre-calculus learning exercise is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Senior Analysis: Graphing Rational Functions
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page activity contains 23 problems.
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Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Polynomials Functions
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Graphing Rational Functions
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
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Sudoku Puzzle with Limits
For this limit problems worksheet, students solve 28 limits problems. Students find the limits of various functions as x approaches a certain number. Students solve a sudoku puzzle with their answers.
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Asymptotes And Zeros of Rational Functions
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
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Graphing Rational Functions
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,...
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Rational Functions and Conics
In this math worksheet, learners practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.
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Horizontal Asymptotes: M=N, M>N
In this algebra worksheet, learners calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
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Rational Functions
For this Algebra II/Pre-calculus worksheet, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.
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Rational Functions and Their Graphs
For this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page worksheet contains explanation of topic, several...
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Rational Functions
Pupils evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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Twenty Rational Function Problems
In this rational functions worksheet, learners find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Rational Functions
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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Math Worksheet: Graphs of Rations Functions (2)
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function. The two page worksheet contains five problems that relate to the one...
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The Functional Notation Problem
In this composite functions worksheet, students solve 1 composite functions problem by finding f(2x) in terms of f(x). Students use a rational function when finding f(2x).
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Graphing Rational Functions
For this rational function worksheet, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.
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Worksheet 9, Rational Functions
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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Applications Of Rational Functions
Students 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. Students can...
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Math Medics
S.o.s. Math: Integration of Rational Functions
Good lesson explaining integration of rational functions in calculus. Also includes a link to partial functions.