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Hyperbolas: Sketching from the Equation
In this algebra worksheet, young scholars 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 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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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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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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Vertical Asymptotes: M=N and M=N+1
In this algebra worksheet, students 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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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 instructional activity...
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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 instructional activity contains 23 problems.
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A Slant Asymptote
In this slant asymptote worksheet, students solve 1 rational equation. Students determine the slant asymptote of a rational equation.
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Hyperbolas
In this hyperbolas instructional activity, 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...
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Conic Sections
In this conic sections worksheet, learners 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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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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Hyperbola
In this hyperbola worksheet, 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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Conics
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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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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Math Regents Exam Questions: Graphing Rational Functions
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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Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
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Twenty Rational Function Problems
In this rational functions learning exercise, students find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Trigonometry Review
In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not included.
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Algebra II Chapter 11 Test
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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Exponential Equations and Functions
In this college level Pre-Calculus worksheet, students solve problems involving exponential functions. Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains seventy...
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Graphs and Equations of Conic Sections Practice Test
In this conic section worksheet, learners complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
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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 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 #12 - Logarithms
In this worksheet, students convert exponential expressions into an equivalent logarithm and visa versa. They find the exact value of logarithmic expressions and determine the domain of a given function. Finally, students use...