how would i find out if an equation is horizontal or oblique from the equation f(x)=2x^2-x-2 / 2x^2-x-10

Question

zepdrix · Answer

Hey Austin :) Welcome to OpenStudy!
$$\Large\rm \frac{\color{orangered}{2x^2}-x-2}{\color{orangered}{2x^2}-x-10}$$To determine whether the function has `horizontal` or `oblique` asymptotes, we need only look at these leading terms.

zepdrix · Answer

The function will have `oblique` asymptotes when the `degree of the top` is exactly one greater than the `degree of the bottom`.

zepdrix · Answer

In this problem however, our top and bottom are of `equal` degree, yes?

zepdrix · Answer

When they are of equal degree like this,
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