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CK-12 Foundation
Horizontal and Vertical Asymptotes: Rational Functions
Play with the graph of a rational function to discover the asymptote patterns. Young scholars use the interactive lesson to discover the relationship between the asymptotes and the function. As they manipulate the function, the graph...
Curated OER
A Slant Asymptote
In this slant asymptote worksheet, students solve 1 rational equation. Students determine the slant asymptote of a rational equation.
Curated OER
Four Slant Asymptotes Problems
For this slant asymptotes worksheet, students calculate the slant asymptotes in four rational functions. The solutions are not provided.
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Graphing Rational Functions
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Curated OER
Rational Functions and Conics
In this math learning exercise, students practice the calculation of rational functions and conics. This learning exercise has 6 problems for the students to solve.
Curated OER
Math Worksheet: Graphs of Rations Functions (2)
In this Algebra II worksheet, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function. The two page worksheet contains five problems that relate to the...
Curated OER
Arithmetic Complex Numbers
Young scholars convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Sophia Learning
Sophia: Slant Asymptotes: Lesson 2
This lesson explains how to determine the slant asymptotes of a given rational function. It is 2 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 3
This lesson explains how to determine the slant asymptotes of a given rational function. It is 3 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 5
This lesson explains how to determine the slant asymptotes of a given rational function. It is 5 of 10 in the series titled "Slant Asymptotes."
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.
Cool Math
Coolmath: Rational Functions Horizontal Asymptotes (And Slants)
This CoolMath resource provides information about horizontal asymptotes, a type of rational function.
Other
Xaktly: Rational Functions
On this site students explore the concept of rational functions. The site begins by looking at the parent function for all rational functions, which is a hyperbola. The other topics that are covered on the tutorial include horizontal...
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...
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.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Graphs of Rational Functions
Use this tutorial to learn how to graph rational functions. Sample problems will guide you through finding the domain and asymptotes, and graphing the function on a coordinate plane.
Math Notes and Math Tests
Pre Calculus Notes: Rational Functions [Pdf]
Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Other
Conejo Valley Unified School District: Rational Functions [Pdf]
Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...
Other
Mr. Perez Online Math Tutor: Solving Rational Equations
The mathematics tutorial investigates how to simplify rational equations, find the least common denominator as well as how to solve rational equations. There are notes, examples and an interactive applet as well as a vocabulary puzzle.