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Find all horizontal asymptotes of the following function. f(x)=(3x-6)ˣ²)-11x+18)

User Foo Bah
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1 Answer

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Final answer:

To find horizontal asymptotes, analyze the function's behavior as x approaches infinity or use the ratio of leading coefficients if it's a rational function with equal degrees in numerator and denominator.

Step-by-step explanation:

The question is asking to find all horizontal asymptotes of a given function. Unfortunately, there is a typo in the function provided, but generally, to find horizontal asymptotes, you would analyze the behavior of the function as x approaches infinity. If the degrees of the numerator and denominator of a rational function are equal, the horizontal asymptote is the ratio of the leading coefficients. However, if the function provided is not a rational function or if there is an issue with its notation, the process could be different.

For example, if a function is given in the form f(x) = (ax^2 + bx + c)/(dx^2 + ex + f), the horizontal asymptote is found by dividing the leading coefficients a/d if the degrees of the numerator and denominator are the same.

User Alex Lopatin
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