Vertical Asymptote Teacher Resources

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This lesson looks at rational polynomial functions and their graphs. These activities will look into the function's zeros, and horizontal and vertical asymptotes. It contains a number of interesting critical thinking questions that take your pupils beyond the graph and into a deeper understanding of the graph. 
In this algebra worksheet, high schoolers 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.
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. 
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
In this A. P. Calculus AB worksheet, students solve seventeen multiple-choice problems with a graphing calculator.  This worksheet is designed as a practice test for the A.P. Exam and should be timed.
In this Calculus activity, students are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration.  The one page activity contains seventeen multiple choice questions.  Answers are not provided.
In this AP Calculus BC worksheet, students answer seventeen multiple choice questions with the use of a calculator.  The questions are a fifty minutes times practice test for the AP exam.
For this AP Calculus Practice Exam worksheet, students solve seventeen multiple-choice questions using a graphing calculator.  This BC practice test is designed to be finished in fifty minutes.
In this AP Calculus practice test worksheet, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator.  The test should be timed and 50 minutes in length.
Learners read an article to explain the reasoning behind theorems. In this calculus lesson, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories of mathematics or numbers.
Eleventh graders differentiate between rational and their properties. In this algebra instructional activity, 11th graders identify the asymptote as vertical or horizontal and the graph as being continuous or not. They examine the numerator and denominator of the graph to help them predict the behavior of the graph.
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
In this review for Calculus BC exam worksheet, learners solve sixteen various multiple choice problems.  These problems are designed as review and preparation for the AP Calculus Exam.
In this AP Calculus AB Exam learning exercise, students answer sixteen multiple choice questions in preparation for the AP Exam.  These questions include many topics covered on the exam.
In this Calculus worksheet, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution.  The four page document contains seventeen multiple choice questions.  Answers are not included. 
In this limits instructional activity, students solve thirteen challenging limit and limit application problems.  Some of these problems are to worked without a calculator.
In this Calculus instructional activity, 12th graders are provided with practice problems for their exam.  Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution.  The four page document contains seventeen multiple choice questions.  Answers are not included. 
Students reinforce and practice the concepts of functions, equations, limits, representation and connections. They explore and investigate vertical asymptotes along with graphical, numerical and symbolic analysis. Students experience all the available tools at their disposal.

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