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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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Graphing Functions
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...
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Graphing a Rational Function
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function. A grid for the graph is provided.
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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.
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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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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Graphing Functions
In this graphing functions instructional activity, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then...
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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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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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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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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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Chapter 3 - Worksheet 3E - Functions
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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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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Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
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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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Discussion Sheet 8
In this limits worksheet, students answer ten short answer questions. Students evaluate limits and differential problems. They find horizontal asymptotes for one function.
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Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. Answers are...
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Graphing Rational Functions
In this algebra instructional activity, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.
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Graphs of Functions
In this algebra worksheet, 11th graders graph functions and identify properties of each functions. They find the domain and range, along with the asymptote. There are 4 questions on this worksheet.
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Graphs of Functions
In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.
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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits learning exercise, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Worksheet 9, Rational Functions
In this algebra worksheet, learners 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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More on Limits, Graph Sketching, and L'Hopital's Rule
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a...