# How do you find the asymptotes for #(2x^6 + 6x^3 )/( 4x^6 + 3x^3)#?

##### 1 Answer

Jun 30, 2018

HA at

VA at

#### Explanation:

When we want to find the horizontal asymptotes, we want to analyze the highest degrees on the top and bottom.

Since we have the same degree on the top and bottom, the horizontal asymptote just simplifies to the coefficients. We're left with

For our vertical asymptote, we want to think about what value(s) make our function defined.

We can set the denominator equal to zero. We get

We can factor our an

Setting both factors equal to zero, we get

These are our vertical asymptotes.

Hope this helps!