CK-12 Foundation
Ck 12: Algebra: Simplifying Rational Expressions
[Free Registration/Login may be required to access all resource tools.] This lesson applies the laws of exponents to rational exponents.
Interactive Mathematics
Interactive Mathematics: The Graph of a Function
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
Texas Instruments
Texas Instruments: Graphing the Rational Function F(x) = |X|
This LearningCheck document can be used as a self-discovery lesson. The student can explore the domain and range along with the transformations.
Texas Instruments
Texas Instruments: Graphing the Rational Function F(x)=1/x
This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.
CK-12 Foundation
Ck 12: Algebra: Solving Rational Equations Using the Lcd
[Free Registration/Login may be required to access all resource tools.] This lesson covers solving rational equations using the LCD of the denominators to eliminate them.
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
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: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
![Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf] Unknown Type](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 6 [Pdf] Unknown Type")
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.
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.
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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, learners examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, learners will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
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
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,...
CK-12 Foundation
Ck 12: Algebra: Fractional Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson introduces rational exponents and how to relate them to nth roots.
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."