For the function fx-x2-x-2x-2- find asymptotes

The correct option is A Has vertical asymptoteGiven f(x)= x ^ 2 x 2 x 2 The function f(x) doesnt not exist at x=2 Therefore the vertical line ...

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Standard VII

Mathematics

Combination with Restrictions

For the funct...

Question

For the function $f (x) = \frac{x^{2} - x - 2}{x - 2}$ , find asymptotes

Has vertical asymptote

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Has horizontal asymptote

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Both of the above are correct

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None is correct

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Solution

The correct option is A Has vertical asymptote
Given $f (x) = \frac{x^{2} - x - 2}{x - 2}$
The function $f (x)$ doesnt not exist at $x = 2$
Therefore the vertical line $x = 2$ is asymptote of function $f (x)$
Therefore the correct option is $A$

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For the function f(x)=x2−x−2x−2, find asymptotes

The correct option is A Has vertical asymptoteGiven f(x)=x2−x−2x−2The function f(x) doesnt not exist at x=2Therefore the vertical line x=2 is asymptote of function f(x)Therefore the correct option is A

For the function $f (x) = \frac{x^{2} - x - 2}{x - 2}$ , find asymptotes

The correct option is A Has vertical asymptote
Given $f (x) = \frac{x^{2} - x - 2}{x - 2}$
The function $f (x)$ doesnt not exist at $x = 2$
Therefore the vertical line $x = 2$ is asymptote of function $f (x)$
Therefore the correct option is $A$