Question

find the horizontal or oblique asymptote of f(x) = -2x^2+3x+6/x+2

Answer 1

Do you know how to find the equation of the oblique asymptote the easy way or the algebraic way?

Answer 2

The easy way is to actually divide the rational expression as it's shown using either long division or synthetic division.

In doing so, you'll generate a quotient and a remainder.
The quotient is the equation of your oblique asymptote.

Answer 3

im not exactly good with this so im not exactly sure of what ur saying

Answer 4

The image which sent as a link, my bad, shows the quotient.

Answer 5

When you actually divide this rational expression, the quotient should be the equation of your oblique asymptote.

Answer 6

If it has one.

Answer 7

I didn't even check, one minute.

Answer 8

Yes, it does have an oblique asymptote.

Answer 9

ok..soo I never really learned this. can u do an example ?

Answer 10

I'm sure you learned long division, otherwise you wouldn't have been asked this question.

Answer 11

yea I have

Answer 12

Then divide your expression. :) The quotient will be your OA.

Answer 13

will it give me my y value?

Answer 14

Not a y-value, the equation of your oblique asymptote.