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

$$x=2$$

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Campbell University

Oregon State University

McMaster 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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Determine all horizontal a…

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find the vertical asymptot…

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Find the vertical and hori…

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one X approaches the number eight, the function venue becomes infinite. Then the nine x echoes is a vertical as moto. How could this situation happen for rational function? A sufficient condition is that the denominator is 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 and constant number and consequently the whole function becomes a very large positive or negative number. Therefore, the criterion to find vertical as Mementos is that denominator vanishes and the numerator does not. For this exercise, if they want, the denominator vanishes. Ex showed b two and at the same time the numerator is square root to regional zero and therefore X equals two is a vertical as model for this function.

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