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Find the vertical asymptotes of the function y = x2 + 35x − 2x2. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =

Question

Find the vertical asymptotes of the function

y=x2+35x−2x2 y = x^2 + 35x - 2x^2 .
(Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x= x =

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Solution

To find the vertical asymptotes of the function y=x2+35x−2x2 y = x^2 + 35x - 2x^2 , follow these steps:

  1. Simplify the function: y=x2+35x−2x2=−x2+35x y = x^2 + 35x - 2x^2 = -x^2 + 35x

  2. Identify the form of the function. The given function is a polynomial, and polynomials do not have vertical asymptotes. Vertical asymptotes occur in rational functions where the denominator can be zero.

Since the function y=−x2+35x y = -x^2 + 35x is a polynomial and does not have a denominator that can be zero, it does not have any vertical asymptotes.

Therefore, the answer is: x = DNE \text{x = DNE}

This problem has been solved

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