Instructional Video7:19
Brian McLogan

How to graph a rational function by simplifying to the reciprocal functions

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 Video3:52
Brian McLogan

How to divide a radical by the reciprocal function to determine the domain

12th - Higher Ed
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Instructional Video7:39
Brian McLogan

Learn How to Graph the Cosecant Function with a Phase Shift and Vertical Shift

12th - Higher Ed
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Instructional Video4:21
Brian McLogan

Summary for graphing the secant and cosecant function

12th - Higher Ed
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Instructional Video7:53
Brian McLogan

Graphing a reciprocal function with 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 Video9:25
Brian McLogan

Graph the reciprocal function with a reflection and translations

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 Video8:14
Brian McLogan

Overview of asymptotes of a rational function, vertical horizontal and slant

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video55:04
Brian McLogan

Multiple Examples to find all the asymptotes and intercepts of rational functions

12th - Higher Ed
Multiple Examples to find all the asymptotes and intercepts of rational functions
Instructional Video5:50
Brian McLogan

Write a rational function as a reciprocal function then find intercepts and asymptotes

12th - Higher Ed
Write a rational function as a reciprocal function then find intercepts and asymptotes
Instructional Video6:00
Brian McLogan

Graph the Secant Function with an Extension of It's Period and Vertical Shift

12th - Higher Ed
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Instructional Video4:04
Brian McLogan

What is the Domain Range and Vertical Asymptote of Cosecant

12th - Higher Ed
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Instructional Video4:48
Brian McLogan

Graph a reciprocal function and determine the limits of the vertical asymptotes

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 Video5:44
Brian McLogan

4f Characteristics of Cotangent (Parts of the Cotangent Graph)

12th - Higher Ed
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
Instructional Video16:08
Brian McLogan

Multiple Examples on determining the asymptotes of rational functions

12th - Higher Ed
Multiple Examples on determining the asymptotes of rational functions
Instructional Video3:42
Brian McLogan

Multiply a radical function by the reciprocal function to determine the domain

12th - Higher Ed
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Instructional Video5:20
Brian McLogan

How does the reciprocal function relate to the other basic functions

12th - Higher Ed
👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Instructional Video5:09
Brian McLogan

What is the reciprocal function

12th - Higher Ed
👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Instructional Video13:42
Brian McLogan

Learn to graph the reciprocal function using a table

12th - Higher Ed
👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For...
Instructional Video17:52
Brian McLogan

Master Solving for all of the solutions for trigonometric equations using inverse operations

12th - Higher Ed
Master Solving for all of the solutions for trigonometric equations using inverse operations
Instructional Video6:57
Brian McLogan

Graphing the Secant Function with a Change in Period and Reflection

12th - Higher Ed
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Instructional Video8:49
Brian McLogan

Graphing the reciprocal identity with a removable discontinuity

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 Video4:58
Brian McLogan

Graph the reciprocal function with a horizontal shift

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 Video12:59
Brian McLogan

Master Solving trigonometric equations with two different trig functions

12th - Higher Ed
Master Solving trigonometric equations with two different trig functions
Instructional Video6:59
Brian McLogan

How to graph the reciprocal function and identify the characteristics

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...