vertical and horizontal asymptotes? example included.?

Question

how in the world do you work vertical and horizontal asymptotes? if i had the problem y=5x^3 +2x/2x^5 -4x^3

^ that symbol represents something to a power like 5x^3 (five x to the third power)
and / (is the fraction sign, so five x to the third plus two x over two x to the fifth power minus four x to the third power.)

if anyone could show me how to work these or point me to a algebra 2 tutoring site that would be lovely

Answer 1

You get vertical asymptotes when the function would be infinite at that value of x. This occurs most commonly in fractions when the denominator goes to 0. I.e., simplify the fraction first. Then find the zeros of the denominator (in this case, there will be three of them) and you have your vertical asymptotes.

Answer 2

5x+y=0