Asymptote Teacher Resources
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Curated OER
Conic Sections: Hyperbolas 3
Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...
Concord Consortium
Rational and Not So Rational Functions
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
Brightstorm
Introduction to Rational Functions - Concept
Let's be rational about it. An instructive resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
Krista King Math
All About Graph Sketching!!
There's nothing sketchy about a helpful graphing resource. An informative video shows how to sketch graphs of functions. Scholars first apply derivatives to determine increasing/decreasing behavior, concavity, and asymptotes. They then...
Flipped Math
Calculus AB/BC - Exploring Types of Discontinuities
Continue one's studies by studying discontinuities. The 11th of 18 lessons in Unit 1 - Limits and Continuity first describes the different types of discontinuities. By watching a video, pupils learn to algebraically determine the...
Curated OER
Rational Functions and Their Graphs
In this Algebra II activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes. The three page activity contains explanation of topic, several...
Curated OER
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.
Curated OER
Graphing Rational Functions
In this rational function worksheet, learners identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.
Curated OER
Graphing a Rational Function
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function. A grid for the graph is provided.
Curated OER
Graphing Functions
In 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.
Curated OER
Intervals
In this intervals instructional activity, 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...
Curated OER
Twenty Rational Function Problems
In this rational functions worksheet, learners find asymptotes, perform operations, simplify, and solve in twenty rational functions.
Curated OER
Worksheet 4 - function
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.
Curated OER
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...
Krista King Math
Infinite Limits
Is the limit infinite or DNE? The video works through an example of finding a vertical asymptote for a trigonometric function and determining the one-sided limits on each side of the vertical asymptote.
Curated OER
Discussion Sheet 6: Doman & Range
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...
Curated OER
Simplifying Functions
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...
Curated OER
Chapter 3: Practice Test - Functions
In this function worksheet, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page worksheet contains 27 problems.
Curated OER
Graphing Review
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...
Curated OER
Limits at Infinity and Horizontal Asymptotes
For 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...
Curated OER
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...
Curated OER
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...
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