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Determine the vertical asymptote(s) if one exists.$$f(x)=\frac{x^{2}-2 x-3}{x-3}$$

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Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Idaho State University

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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Determine the vertical asy…

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Find the vertical asymptot…

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Determine all horizontal a…

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Determine the horizontal a…

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one X approach, a number eight function venue becomes in Finland. Then the law executes is a vertical as moto. How could this situation happened for rational functioning? Sufficient condition? Is that the denominator zero at this point? A. And the numerator isn't in this way. The X approaches a, the denominator approaches zero and the numerator approaches some council members and consequently the whole function becomes a very large positive or negative number. So the criterion to find vertical as models is that the denominator vanishes and the numerator does not. For this exercise, first, we can factor the numerator into two parts. And if we want the denominator to be zero x must echo three. But when X equals three, the numerator is also zero. Therefore, we need to check its Nimitz. So when X approaches raise the limit of these functions for which is not infinity, and therefore this function has no vertical as models

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