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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.
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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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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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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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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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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....
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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 instructional activity, students practice the calculation of rational functions and conics. This instructional activity has 6 problems for the students to solve.
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Horizontal Asymptotes: M=N, M>N
In this algebra worksheet, students 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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Worksheet 5 Math 126-Hyperbolas
In this Pre-calculus worksheet, students solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.
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Rational Expressions Test with a Calculator
In this rational expression learning exercise, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This learning exercise is designed as a test to be completed with a calculator.
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Rational Functions and Their Graphs
In 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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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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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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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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A Slant Asymptote
In this slant asymptote worksheet, learners solve 1 rational equation. Students determine the slant asymptote of a rational equation.
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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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,...