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
CK-12 Foundation
Ck 12: Analysis: Real Zeros of Polynomials
[Free Registration/Login may be required to access all resource tools.] In this lesson students solve problems involving polynomial and rational functions. Students examine guided notes, review guided practice, watch instructional videos...
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Paul Dawkins
Paul's Online Notes: Algebra & Trig Review
The tutorial reviews algebra and trigonometric topics needed in Calculus. Topics examined are solving equations, rational expressions, absolute value, solving trigonometric functions, exponentials, and logarithms. Class notes,...
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
CK-12 Foundation
Ck 12: Analysis: Intermediate Value Theorem
[Free Registration/Login may be required to access all resource tools.] Analytical solutions of polynomial and rational equations. Intermediate Value theorem and Bounds on Zeroes. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Analysis: Applications of One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
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