Brian McLogan
Determine the horizontal asymptotes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
What you need to know | Rational Functions
In this video I present a set of problems to help prepare for learning about rational functions in precalculus. While rational functions is explored in Algebra 2 I decided to make it a separate unit in precalc based on how many students...
Professor Dave Explains
Graphing Rational Functions and Their Asymptotes
An introduction to asymptotes
Khan Academy
Polynomial Division, Polynomial and Rational Functions, Algebra II
Put your math pupils’ division and algebra skills to the test with this video, which introduces the concept of polynomial division. Sal's examples increase in complexity as the video progresses, allowing viewers to see how basic skills...
Flipped Math
Calculus AB/BC - Exploring Types of Discontinuities
Continue one's studies by studying discontinuities. The 11th of 18 lessons in Unit 1 - Limits and Continuity first describes the different types of discontinuities. By watching a video, pupils learn to algebraically determine the...
Flipped Math
Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Flipped Math
Calculus AB/BC - Infinite Limits and Vertical Asymptotes
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
Flipped Math
Calculus AB/BC - Removing Discontinuities
It's called a removable discontinuity for a reason. After reviewing the conditions for a removable discontinuity to exist, scholars watch an informative video to learn how to remove the discontinuity. They look at several examples...
Krista King Math
How to Find Slant Asymptotes
Learn about slant asymptotes directly—not obliquely. Viewers of a short video discover how to determine a slant or oblique asymptote for a rational function. They see how to apply polynomial division to achieve this goal.
Krista King Math
How to Find Horizontal Asymptotes
Is a vertical asymptote required to find the horizontal counterpart? By watching a video, scholars learn how to determine the horizontal asymptote of the graph of a rational function. They recognize that the degrees of the leading terms...
Krista King Math
How to Find Vertical Asymptotes!!
Ascertain the asymptotes. An informative video describes how to algebraically determine the locations of vertical asymptotes for the graphs of rational functions. Scholars see that they need to set the denominator equal to zero and solve...
Corbett Maths
Reciprocal Graphs
Make a rational decision to learn about rational functions. Scholars view a video that shows how to graph equations by hand. They learn to create tables of values to graph rational equations of the form y = k/x. They then think about how...
Corbett Maths
Inverse Functions
The opposite operations in the opposite order create the inverse of a function. A video demonstration explains the algebraic steps in creating inverse functions from different types of functions. The examples include linear, rational,...
FuseSchool
Reciprocal Graphs
Explore the patterns of a reciprocal function with an engaging video lesson that compares graphs of reciprocal functions to different polynomial functions. After describing the key features, the instructor explains the patterns that...
PBS
Singularities Explained
Math versus physical reality ... who wins? A short video discusses singularities, starting with division by zero in rational functions and moving on to real-world examples. It covers population growth doomsday equations, Navier-Stokes...
Brightstorm
Introduction to Rational Functions - Concept
Let's be rational about it. An instructive resource provides the definition of rational expressions and rational functions. Examples provide an explanation on how to determine excluded values from the domain. The resource continues...
Curated OER
How Do You Graph a Rational Function by Making a Table?
Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...
Curated OER
What is a Rational Function?
A rational function can be written as a ratio of two polynomials. There are a couple of rules concerning the denominator so watch this video and find out what they are.
Educator.com
Local Maximum and Minimum
AP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical...
Krista King Math
How to Find Removable Discontinuities
So that's why its called a removable discontinuity. By watching the video, viewers learn to classify discontinuities as either removable or non-removable. They then learn to write a modified function that removes any removable...
Other
Mhs Math: Vertical Asymptotes
This goal of this video lesson is to find vertical asymptotes of rational functions and determine the behavior of the curve near the asymptotes.
Khan Academy
Khan Academy: Rational Functions: Extraneous Solutions to Rational Equations
A step-by-step demonstration on how to solve a rational equation and eliminate any extraneous solutions.
Khan Academy
Khan Academy: Rational Functions: Rational Equations
A step-by-step breakdown to solve a rational equations and find the excluded values.