Question
Asked Apr 2, 2019
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identify the asymtotes

f(x) = -2x2+5x-4/x+3

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Expert Answer

Step 1

Given:

The function is 

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Step 2

Known facts:

Vertical asymptote:

The undefined points of a rational function is said to be the veritical asymptote of a rational function.

Horizontal asymptote:

For a rational function, if the degree of the numerator is more than one time the degree of the denominator, then its asymptote is said to be a slant asymptote which is in the form of y = mx+b.

Step 3

Calculation:

Since the given function is observed to be in the form of P/Q, it is a rational function.

Compute the vertical asympote of the given f(x) as follows.

Obtain the undefined points of the function b...

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