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Twenty Rational Function Problems
In this rational functions activity, learners find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Worksheet 4 - function
In this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
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Algebra II Chapter 11 Test
In this Algebra II learning exercise, students assess their knowledge of rational algebraic expressions. The three page learning exercise contains a combination of twenty-three multiple choice, short answer, and word problems. Answers...
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Discussion Sheet 6: Doman & Range
In this domain and range worksheet, students determine the domain, range, x and y-intercepts, vertical, horizontal and asymptotes for a function. They write a formula for a function for given properties. Students read story problems...
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Simplifying Functions
In this simplifying functions learning exercise, 11th graders solve and complete 11 different types of problems. First, they simplify each function as necessary. Then, students state the vertical asymptotes, holes, horizontal asymptotes,...
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Chapter 3: Practice Test - Functions
In this function activity, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page activity contains 27 problems.
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Graphing Review
in this graphing review worksheet, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...
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Limits at Infinity and Horizontal Asymptotes
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
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Conics
In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...
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Rational Expressions/Equations Test
In this Algebra II worksheet, students are given a test of twenty-three problems regarding Rational Expressions and Rational Equations. Some of the questions are multiple choice, while others are word problems or problem solving problems.
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Rational Functions
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts. The three page worksheet contains forty problems. Answers are provided.
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The Canoe Trip, Variation 2
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
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The Reciprocal Function Family
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes. The two page worksheet contains explanation, examples, and two practice...
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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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Rational Functions
In this algebra worksheet, young scholars solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
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Intuitive Approach to Limits
Students identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
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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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Evaluating Limits
In this evaluating limits learning exercise, students solve and complete 22 various types of problems. First, they determine the highest power of x in each of the functions. Then, students divide both the numerator and the denominator by...
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Evaluating Limits
In this evaluating limits worksheet, students solve and complete 20 various types of problems. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power....
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Evaluating Limits
In this evaluating limits learning exercise, students solve and complete 20 different types of problems. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that...
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Writing Equations of Hyperbolas
In this writing equations worksheet, students write the equations of a hyperbola. This four-page worksheet contains 24 problems. Answers are provided on the last two pages.
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Math Regents Exam Questions: Graphing Rational Functions
In this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
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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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Continuous Function
For this continuous function worksheet, students identify continuous functions, and use limits to determine the horizontal asymptotes. This two-page worksheet contains three problems.
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