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Brian McLogan
How to graph a rational function by simplifying to the reciprocal functions
👉 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...
Brian McLogan
How to divide a radical by the reciprocal function to determine the domain
👉 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...
Brian McLogan
Learn How to Graph the Cosecant Function with a Phase Shift and Vertical Shift
👉 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...
Brian McLogan
Summary for graphing the secant and cosecant function
👉 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...
Brian McLogan
Graphing a reciprocal function with transformations
👉 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...
Brian McLogan
Graph the reciprocal function with a reflection and translations
👉 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...
Brian McLogan
Overview of asymptotes of a rational function, vertical horizontal and slant
👉 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...
Brian McLogan
Multiple Examples to find all the asymptotes and intercepts of rational functions
Multiple Examples to find all the asymptotes and intercepts of rational functions
Brian McLogan
Write a rational function as a reciprocal function then find intercepts and asymptotes
Write a rational function as a reciprocal function then find intercepts and asymptotes
Brian McLogan
Graph the Secant Function with an Extension of It's Period and Vertical Shift
👉 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...
Brian McLogan
What is the Domain Range and Vertical Asymptote of Cosecant
👉 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...
Brian McLogan
Graph a reciprocal function and determine the limits of the vertical asymptotes
👉 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...
Brian McLogan
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
Brian McLogan
Multiple Examples on determining the asymptotes of rational functions
Multiple Examples on determining the asymptotes of rational functions
Brian McLogan
Multiply a radical function by the reciprocal function to determine the domain
👉 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...
Brian McLogan
How does the reciprocal function relate to the other basic functions
👉 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...
Brian McLogan
What is the reciprocal function
👉 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...
Brian McLogan
Learn to graph the reciprocal function using a table
👉 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...
Brian McLogan
Master Solving for all of the solutions for trigonometric equations using inverse operations
Master Solving for all of the solutions for trigonometric equations using inverse operations
Brian McLogan
Graphing the Secant Function with a Change in Period and Reflection
👉 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...
Brian McLogan
Graphing the reciprocal identity with a removable discontinuity
👉 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...
Brian McLogan
Graph the reciprocal function with a horizontal shift
👉 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...
Brian McLogan
Master Solving trigonometric equations with two different trig functions
Master Solving trigonometric equations with two different trig functions
Brian McLogan
How to graph the reciprocal function and identify the characteristics
👉 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...