Curated OER
Rational Functions
Through a mini assessment, students 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 function...
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Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Texas Instruments
Graphs of Rational Functions
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
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Worksheet 7 - Asymptote
In this asymptote worksheet, students compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
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Worksheet 28 - Functions
In this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
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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 worksheet contains 23 problems.
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Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
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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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Vertical Asymptotes: M=N and M=N+1
In this algebra worksheet, learners determine the vertical asymptotes for a given rational equation with the leading exponents following either of the cases: M = N or M = N + 1. There are 4 questions.
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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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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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Asymptotes and Zeros
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes. Students approximate the solutions to rational equations and inequalities by graphing.
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Writing Equations of Hyperbolas
In this writing equations learning exercise, students write the equations of a hyperbola. This four-page learning exercise contains 24 problems. Answers are provided on the last two pages.
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Graphs of Functions
In this graphs of functions worksheet, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...
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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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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 worksheet, students solve and complete 14 different types of problem. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power....
Curated OER
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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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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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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Conic Sections
In this conic sections worksheet, students solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that...
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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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Hyperbolas
In this hyperbolas learning exercise, 11th graders solve and complete 5 different problems. First, they define hyperbolas and draw a picture of one. Then, students find the coordinates of the vertices and the foci and the equation for...
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Hyperbola
In this hyperbola activity, students solve and complete 33 different problems that include identifying various hyperbolas. First, they graph each hyperbola, stating the center, vertices, co-vertices, foci, asymptotes, and latus rectum....