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Worksheet
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Graphing Rational Functions

For Students 9th - 10th
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
Curated OER

Graphing a Rational Function

For Students 10th - 12th
For 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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Worksheet
Curated OER

Graphing Functions

For Students 11th - Higher Ed
For this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
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Worksheet
Curated OER

Intervals

For Students 11th - Higher Ed
In this intervals worksheet, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all inflection...
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Worksheet
Curated OER

Twenty Rational Function Problems

For Students 10th - 12th
In this rational functions worksheet, students find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Lesson Plan
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Worksheet 4 - function

For Teachers Higher Ed
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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Worksheet
Curated OER

Algebra II Chapter 11 Test

For Students 10th - 11th
In this Algebra II worksheet, students assess their knowledge of rational algebraic expressions. The three page worksheet contains a combination of twenty-three multiple choice, short answer, and word problems. Answers are not provided. 
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Worksheet
Curated OER

Discussion Sheet 6: Doman & Range

For Students Higher Ed
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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Worksheet
Curated OER

Simplifying Functions

For Students 11th
In this simplifying functions worksheet, 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, domain...
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Worksheet
Curated OER

Chapter 3: Practice Test - Functions

For Students 10th - 11th
In this function worksheet, learners find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page worksheet contains 27 problems.
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Worksheet
Curated OER

Graphing Review

For Students 10th - 12th
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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Worksheet
Curated OER

Limits at Infinity and Horizontal Asymptotes

For Students Higher Ed
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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Worksheet
Curated OER

Conics

For Students 11th
In this conic sections activity, 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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Worksheet
Curated OER

Rational Expressions/Equations Test

For Students 10th - 12th
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

For Students Higher Ed
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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Worksheet
Curated OER

The Reciprocal Function Family

For Students 11th
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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Lesson Plan
Curated OER

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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Worksheet
Curated OER

Evaluating Limits

For Students 12th - Higher Ed
In this evaluating limits worksheet, learners 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 that...
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Worksheet
Curated OER

Evaluating Limits

For Students 11th - Higher Ed
For 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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Worksheet
Curated OER

Evaluating Limits

For Students 11th - Higher Ed
For this evaluating limits worksheet, 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 power....
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Worksheet
Curated OER

Writing Equations of Hyperbolas

For Students 10th - 12th
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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Worksheet
Curated OER

Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
For 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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Worksheet
Curated OER

Graphing Rational Functions

For Students 11th
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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Worksheet
Curated OER

Continuous Function

For Students Higher Ed
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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