Curated OER
Worksheet 2
In this math activity, students state the definition of a definite integral. Then they describe the Fundamental Theorem of Calculus.
Curated OER
Polynomial Divisions
Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Students examine how driving a hybrid car can save money and cut down on pollution. In this hybrid vehicles lesson students complete an exercise that shows them how to work with proportions, percents, dimensional analysis and linear...
Curated OER
How Many Bears in the Forest?
Third graders model the tag and recapture of bears and use proportions to estimate the population of the bears in their forest. This is a statistical sampling method used by scientists and naturalists to determine population numbers.
![Binghamton University: Graphing Rational Functions [Pdf] Website](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Binghamton University: Graphing Rational Functions [Pdf] Website")
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Binghamton University: Graphing Rational Functions [Pdf]
This site is a 16-page excerpt from a textbook that discusses the topic of graphing rational functions. The book includes numerous worked out examples. Topics that are covered include the domain of a rational function, zeroes of a...
New York University
Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf]
This site provides a detailed explanation of rational functions by looking at numerous examples. Topics that are covered include domain, horizontal asymptotes, vertical asymptotes and graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions X and Y Intercepts
Find out how to find the x and y-intercepts when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Vertical Asymptotes
This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Purple Math
Purplemath: Graphing Rational Functions: Introduction
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
Other
Franklin University: Rational Functions and Asymptotes [Pdf]
This site provides an introduction to rational functions. Topics that are included are finding the domain of a rational function, finding the horizontal and vertical asymptotes and graphing rational functions. There are many worked out...
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
Sophia Learning
Sophia: Lio + Lola: Graphing Rational Functions
Graph rational functions using examples and step by step guide.
Richland Community College
Richland Community College: Steps to Graphing Rational Functions
This site describes the steps to follow when graphing a rational function.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Illustrative Mathematics
Illustrative Mathematics: F if Graphing Rational Functions
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions
Fourteen problems present a variety of practice graphing rational functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Graph and compare inverse variation equations and rational functions.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
Richland Community College
Richland Community College: Rational Functions and Asymptotes
This site contains basic information on rational functions. Gives definition, how to find domain and roots, and how rational functions apply to asymptotes and holes in the graph.