Graphing Rational Functions Teacher Resources

Find Graphing Rational Functions lesson plans and worksheets
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Graphing Rational Functions

For Teachers 9th - 12th
With the many steps involved in graphing rational functions, your learners may need a little extra help before they get the hang of it. Here are some supplement notes and practice problems to support your class as they investigate this...
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EngageNY Precalculus and Advanced Topics Module 3: Rational and Exponential Functions

For Teachers 11th - 12th Standards
In Module 3, precalculus students review the fundamental theorem of algebra, and then find roots of polynomials and roots of unity using polynomial identities, the binomial theorem, and Pascal’s Triangle. As part of their study of...
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Math Regents Exam Questions: Graphing Rational Functions

For Students 9th - 12th
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.
8:20
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Another Rational Function Graph Example

For Students 8th - 11th
Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.
21:06
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Asymptotes of Rational Function

For Students 7th - 11th
Though longer than his other algebra videos at just over twenty-one minutes, this lesson is important for viewers to understand graphing rational functions and asymptotes. The most valuable part of the video is the way that Sal explains...
11:31
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A third Example of Graphing a Rational Function

For Students 7th - 11th
Sal takes viewers through another example of graphing rational functions "because you really can't get enough practice here." Combined with the two previous videos on graphing rational functions and asymptotes, viewers will walk away...
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Graphing Rational Functions

For Teachers 11th - 12th Standards
New ReviewPut everything together in a picture. Scholars take what they learned in the previous three lessons in the 15th segment of a 23-part unit to graph rational functions. They find the end behavior, the horizontal and vertical asymptotes if...
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Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
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 worksheet contains...
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Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Graphing Rational Functions

For Teachers 9th - Higher Ed Standards
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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Graphing Rational Functions

For Students 11th
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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Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
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Polynomial and Rational Functions

For Teachers 10th - Higher Ed
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...
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Graph, Identify Asymptotes, Find Domain and Range, for Eleven Simple Rational Functions

For Students 10th - 12th
Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.
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Graphing Rational Functions

For Students 9th - 10th
In this rational function worksheet, students 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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Transforming Rational Functions

For Teachers 11th - 12th Standards
New ReviewMove all rational functions—well, maybe. Learners investigate the graphs of the reciprocals of power functions to determine a pattern between the graph and the power. Pupils graph rational functions where transformations are clearly...
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On Graphing Certain Rational Functions

For Teachers 10th - 12th
Mathematicians explore number values by completing a fraction activity in class. In this data graphing lesson, students identify the term rational function and practice converting them into graphs. Then they check their work with the...
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Graphing Rational Functions

For Students 11th
In this algebra worksheet, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.
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Senior Analysis: Graphing Rational Functions

For Students 10th - 12th
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
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Graph Rational Functions on a Graphing Calculator

For Teachers 9th - 11th
High schoolers graph functions on their graphing calculators. They follow step-by-step directions to enter rational functions onto their calculators and then graph them. The worksheet includes nine questions.
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Graphs of Rational Functions

For Teachers 9th - 12th Standards
Take your kids on a tour of graphing rational functions. Using this TI lesson, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions of...
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Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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Asymptotes and Zeros

For Teachers 9th - 12th Standards
Learn how to explore rational functions and investigate the graphs rational functions and identify its singularities and asymptotes.  Young scholars approximate the solutions to rational equations and inequalities by graphing.
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Test 2: Rationals, Exponentials, and Logarithms

For Students 9th - 12th Standards
Running out of logarithm questions in class? The nicely organized two-page worksheet provides practice in rational, logarithmic, and exponential functions. All the topics include graphing, solving, and finding domain and range. 

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Graphing Rational Functions