Find the vertical, horizontal, and slant asymptotes, if any, for f(x)=2x^3+24x^2+35x-175/x^2+14x+45< br />

Unfortunately, none of these answers are correct...

First some simplification: writing in quotient-remainder form, we have

But , so for we have

and is a removable discontinuity. Meanwhile, is not, and has has a vertical asymptote there.

Any horizontal/slant asymptote to will be some expression such that

We know that as , so the choice of is determined by the quotient we found earlier:

So has a slant asymptote along the line .

The closest answer would be A, but as we showed above, only is the site of a vertical asymptote. is not continuous at but no vertical asymptote occurs there.

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are