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Determine the horizontal asymptotes, if they exists.$$f(x)=\frac{2 x}{x-5}$$

$$y=2$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Missouri State University

Campbell University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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00:55

Determine the horizontal a…

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Find all vertical asymptot…

01:12

Find all horizontal and ve…

02:56

06:38

Find the vertical and hori…

Find any horizontal or ver…

00:50

Asymptotes Find all horizo…

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01:02

if y equals b the horizontal as Mementos of the function The functional value must have been near be when the value of X gets very large in absolute venue. Therefore, the task of finding the horizontal s photos by was down to finding the limit of f X. The X goes to positive infinity and negative infinity. How to find the limit of f e X X goes to infinity for rational functions both the numerator and denominator Upon phenomenal, the common way is to divide X to the power of the highest order of the party nominal of the numerator. In this exercise, this other is one enhanced with wide X. So this function becomes this. Yeah, well X goes to infinity this term go to zero and enhance the limited to know that no matter when x goes to positive infinity or negative infinity, this limit is two and the hands this function has only one horizontal as taught which is y equals two

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