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Instructional Video10:29
Curated OER

Conic Sections: Hyperbolas 3

For Students 10th - 12th
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...
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Assessment
Concord Consortium

Rational and Not So Rational Functions

For Students 11th - 12th Standards
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...
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Instructional Video1:28
Brightstorm

Introduction to Rational Functions - Concept

For Students 8th - 10th
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...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
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...
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Interactive
CK-12 Foundation

Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
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....
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Instructional Video9:58
Krista King Math

All About Graph Sketching!!

For Students 11th - Higher Ed
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...
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AP Test Prep11:15
2
2
Flipped Math

Calculus AB/BC - Exploring Types of Discontinuities

For Students 10th - 12th
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...
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Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
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...
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Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Graphing Rational Functions

For Students 9th - 10th
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.
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Worksheet
Curated OER

Graphing a Rational Function

For Students 10th - 12th
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.
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Worksheet
Curated OER

Graphing Functions

For Students 11th - Higher Ed
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.
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Worksheet
Curated OER

Intervals

For Students 11th - Higher Ed
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...
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Worksheet
Curated OER

Twenty Rational Function Problems

For Students 10th - 12th
In this rational functions worksheet, learners find asymptotes, perform operations, simplify, and solve in twenty rational functions.
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Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
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.
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Worksheet
Curated OER

Algebra II Chapter 11 Test

For Students 10th - 11th
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...
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Instructional Video7:37
Krista King Math

Infinite Limits

For Students 11th - Higher Ed
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.
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Worksheet
Curated OER

Discussion Sheet 6: Doman & Range

For Students Higher Ed
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...
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Worksheet
Curated OER

Simplifying Functions

For Students 11th
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...
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Worksheet
Curated OER

Chapter 3: Practice Test - Functions

For Students 10th - 11th
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.
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Worksheet
Curated OER

Graphing Review

For Students 10th - 12th
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...
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Worksheet
Curated OER

Limits at Infinity and Horizontal Asymptotes

For Students Higher Ed
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...
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Worksheet
Curated OER

Conics

For Students 11th
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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Worksheet
Curated OER

Rational Expressions/Equations Test

For Students 10th - 12th
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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