Question

end behavior question

Answer 1

end behavior of y=(x^4-2x^3+x^2)/(3x^3-9x^2+6x)?

Answer 2

@asnaseer

Answer 3

for large x, the highest power terms dominate

Answer 4

so in the numerator you have x^4, and in the denominator you have 3x^3

Answer 5

yea

Answer 6

for large x

y ~ x^4 / (3x^3 ) = x/3 after canceling

so the end behavior, as x->oo , y -> oo , and as x-> -oo, y -> -oo