University of Saskatchewan (Canada)
University of Saskatchewan: Advanced Rational Function Problems
A set of more difficult exercises on rational functions, complete with solutions. Asks for students to find the asymptotes of the equations given and to sketch the function.
CK-12 Foundation
Ck 12: Algebra: Horizontal and Vertical Asymptotes
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding asymptotes of rational functions
CK-12 Foundation
Ck 12: Algebra: Oblique Asymptotes
[Free Registration/Login may be required to access all resource tools.] In this lesson students gain an understanding of oblique asymptotes of rational functions, and how to locate them. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: Analysis: Basic Exponential Functions
[Free Registration/Login may be required to access all resource tools.] Evaluating and solving basic exponential functions, introduction to ''e''.
CK-12 Foundation
Ck 12: Analysis: Limits and Asymptotes
[Free Registration/Login may be required to access all resource tools.] Introduction to end behaviors, limits, asymptotes and limit notation.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
Purple Math
Purplemath: Slant (Oblique)l Asymptotes
The functions and graphs of functions with oblique asymptotes are explained with a step-by-step description of how to find oblique asymptotes and gives examples.
Purple Math
Purplemath: Vertical Asymptotes
This Purple Math lesson provides an explanation and examples on vertical 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.
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...
CK-12 Foundation
Ck 12: Analysis: Hyperbolas and Asymptotes
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the asymptotes of hyperbolas. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Algebra: Graphs of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: Analysis: Analysis of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Analyzing rational functions through manual graphing and technology
Math Words
Math words.com: Hyperbola
A definition for what a hyperbola is along with example diagrams of what horizontal and vertical hyperbolas are and gives the standard form equation.
Wolfram Research
Wolfram Math World: Asymptote
This site from MathWorld provides a picture, or diagram of the asymptotes along with a very brief, one sentence definition. Links are provided for related subjects, along with a short bibliography.
