Describe in words the long run behavior as x approaches infinity of the function

Question

y = 6x^6 + (4x^4/x^-9) -9x^7+3

I know y goes to positive infinity as x approaches infinity

The graph resembles ? (is it 4x^5)

I tried simplifying 4x^4/x^-9 and got 4/x^-5 is what the graph resembles is this right?

Answer 1

y = 6x^6 + 4x^13 - 9x^7 + 3

for large x, it's just 4x^13