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Lesson Plan
Curated OER

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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Worksheet
Curated OER

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.
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Lesson Plan
Curated OER

Asymptotes And Zeros of Rational Functions

For Teachers 9th - 12th Standards
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Worksheet
Curated OER

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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Interactive
CK-12 Foundation

Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
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Handout
2
2
Curated OER

Parent Functions Review Sheet

For Students 9th - Higher Ed Standards
No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...
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Worksheet
Curated OER

Extra Practice 10.4: Solving Rational Equations

For Students 8th - 11th
In this rational equations worksheet, students solve 20 rational equations.  Students find the zeros of rational functions and solve rational equations.
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
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Lesson Plan
Curated OER

Discovering Different Types of Functions

For Teachers 10th - 12th
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
In this rational functions activity, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page activity contains 35 multip-step problems.
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Assessment
Mt. San Antonio Collage

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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Lesson Plan
Curated OER

Worksheet 9, Rational Functions

For Teachers 9th - 10th
In this algebra worksheet, learners tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II worksheet, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page worksheet contains explanation of topic, several...
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Lesson Plan
Curated OER

Rational Functions

For Teachers 9th - 11th
Students evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.
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Worksheet
Curated OER

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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Lesson Plan
Curated OER

Rational Functions

For Teachers 10th - 12th
In this algebra worksheet, young scholars solve rational functions and identify the x and y intercepts, the vertical and horizontal asymptotes. There are 26 questions.
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Unit Plan
Radford University

Function Family Fun

For Teachers 9th - 12th Standards
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
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Worksheet
Curated OER

Math Worksheet: Graphs of Rations Functions (2)

For Students 11th
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page worksheet contains five problems that relate to the one...
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Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
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Worksheet
Curated OER

Twenty Rational Function Problems

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

Rational Functions and Conics

For Students 11th - Higher Ed
In this math instructional activity, students practice the calculation of rational functions and conics. This instructional activity has 6 problems for the students to solve.
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Lesson Plan
1
1
EngageNY

Comparing Rational Expressions

For Students 10th - 12th Standards
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result. 

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