Instructional Video2:15
Brian McLogan

Identifying vertical, horizontal asymptotes and holes

12th - Higher Ed
👉 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...
Instructional Video3:54
Brian McLogan

Learn How to Determine Slant Asymptote of a Rational Function

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video3:54
Brian McLogan

The Simple Way to Determine the Vertical and Slant Asymptotes

12th - Higher Ed
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Instructional Video2:07
Brian McLogan

Asymptotes and Intercepts of a Rational Function

12th - Higher Ed
👉 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...
Instructional Video2:11
Brian McLogan

Learn how to graph the reciprocal function with multiple transformations

12th - Higher Ed
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Instructional Video2:34
Brian McLogan

Learn how to determine the vertical asymptotes of a rational function

12th - Higher Ed
👉 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...
Instructional Video4:10
Brian McLogan

Asymptotes and intercepts

12th - Higher Ed
👉 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...
Instructional Video1:51
Brian McLogan

Math tutorial for graphing an exponential equation

12th - Higher Ed
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Instructional Video11:59
Brian McLogan

Which Method is Better? | Graph Exponential Equations

12th - Higher Ed
When should you use the table method and when should you use the parent graph. These are valid questions and in this video we will explore both methods.
Instructional Video1:01:45
Brian McLogan

Graph Rational Functions | Rational Functions | Pre-Calculus

12th - Higher Ed
Let's discover how to identify the asymptotes and intercepts of a rational function. We will begin graphing the reciprocal function and use that to help us understand the asymptotes and intercepts of any reciprocal function. I make...
Instructional Video5:20
Brian McLogan

Graph Piecewise Functions

12th - Higher Ed
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Instructional Video7:48
Brian McLogan

Graphing a rational function with no horizontal asymptote

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video8:16
Brian McLogan

Learn how to graph a rational expression with symmetry about the origin

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video11:16
Brian McLogan

Graphing a rational functions with asymptotes

12th - Higher Ed
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Instructional Video3:17
Brian McLogan

Horizontal and Vertical asymptotes of rational functions

12th - Higher Ed
👉 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...
Instructional Video4:52
Brian McLogan

Determine the horizontal asymptotes

12th - Higher Ed
👉 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...
Instructional Video5:26
Brian McLogan

How to make sense of a horizontal asymptote

12th - Higher Ed
How to make sense of a horizontal asymptote
Instructional Video1:28
Brian McLogan

Evaluating a limit at infinity horizontal asymptote

12th - Higher Ed
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Instructional Video1:24
Brian McLogan

Evaluating the limit at infinity find horizontal asymptote

12th - Higher Ed
👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the...
Instructional Video5:00
Curated Video

Graphing Exponential Growth

K - 5th
In this lesson, students will learn how to graph exponential functions by modeling paper folding. They will explore the concept of exponential growth and understand how the number of layers of paper doubles with each fold.
Instructional Video
Khan Academy

Khan Academy: Algebra Ii: Graphing Rational Functions 4

9th - 10th Standards
Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....
Instructional Video
Khan Academy

Khan Academy: Algebra Ii: Graphing Rational Functions 2

9th - 10th Standards
Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]
Instructional Video
Khan Academy

Khan Academy: Algebra: Asymptotes of Rational Functions

9th - 10th Standards
Video explains what asymptotes are and demonstrates how to determine the asymptotes of rational functions. Includes rules for horizontal asymptotes based on the highest power of the numerator and denominator of the rational function....