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Determine the vertical asymptote(s) if one exists.$$f(x)=\frac{3 x^{2}}{2 x-5}$$

$$x=5 / 2$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Harvey Mudd College

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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Find the horizontal asympt…

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Determine the horizontal a…

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one X approaches the number eight, the function venue becomes infinite. Then the nine X equals a. The vertical has motto. How could this situation happened for rational function? A sufficient condition is that the denominators zero at this point A and the numerator event. In this way, the X approaches a the denominator approaches zero and the numerator approaches some counsel number and consequently the whole function becomes a very large positive or negative number. So the criterion to find vertical, as mom told is that the denominator vanishes and the numerator does not. For this exercise, we want that the nominator to be zero then X echoes 5/2 and at the same time the numerator is now zero and we can see that X equals 5/2 is a vertical has modeled for this function.

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