Question

The end behavior of f(x) = 9+2x^3 / x^4-81
most closely matches which of the following?

y = 0
y = 2
y = 9
y = −9

Answer 1

As x tends to infinity (to very very very large values), what is larger the denominator or numerator?

Answer 2

what do you mean?

Answer 3

\(\large\color{#000000 }{ \displaystyle 9+2x^3~<,~=~or>~x^4-81 }\)

select the sign (if x is a very big number like 1000)

Answer 4

9+2x^3 is bigger @SolomonZelman