CK-12 Foundation
Ck 12: Analysis: Polynomial Function Limits
[Free Registration/Login may be required to access all resource tools.] Finding the limits of polynomial functions using theorems and operations on limits
![Pbs Teachers: Building Boxes [Pdf] Lesson Plan](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Pbs Teachers: Building Boxes [Pdf] Lesson Plan")
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, young scholars will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
CK-12 Foundation
Ck 12: Algebra: Inverse Variation Problems
[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Real World Applications Work Problems
A lesson plan incorporating the use of real world work, rate, and time problems. Examples are provided and strategies for effective use of the lesson are included.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Limits at Infinity
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
Wolfram Research
Wolfram Math World: Graphs
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Curated OER
Oregon State University: Rational Functions
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 1 [Pdf]
Students write the partial fraction decomposition of a rational function and identify the graphs of the rational function and each term of the decomposition. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 2 [Pdf]
Students write the partial fraction decomposition of a rational function and identify the graphs of the rational function and each term of the decomposition. The graphs are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 3 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 4 [Pdf]
The practice problem investigates the decomposition of a rational function. The graphs of the rational function and each term of its decomposition are available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 7 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 8 [Pdf]
Students identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 5 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Other
Gobierno De Navarra: Familias De Funciones Elementales
Visualize the different kinds of functions with these interactive activities.
Curated OER
Zona Land
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
National Council of Teachers of Mathematics
The Math Forum: Drexel University: Example With Rational Root Theorem
This site from Drexel University solves a problem of finding the rational roots of a polynomial using the rational roots theorem, also known as the rational zero theorem.
Math Notes and Math Tests
Pre Calculus Notes: Finding Zeros of Polynomial Functions [Pdf]
Students learn how to find the zeros of a polynomial function. Topics include rational zero test, factoring, and conjugate pairs of zeros. Techniques and examples are included
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