Question

How do I find the end behavior model of a function?
(calculus)

Answer 1

\[f(x) = \frac{ x^3 + 2x^2 - 3x }{ 3x^2 + 3x - 6 }\]

Answer 2

okay. this is going to be long :D

Answer 3

First of all, factor the denominator.

Answer 4

Can you do that?

Answer 5

3(x^2 + 2x -2)

Answer 6

noo wait

Answer 7

lim as x -> infinity

Answer 8

It must be more than that. Try completing the square first.

Answer 9

you can divide and you'll see

Answer 10

what does end behavior model even mean?

Answer 11

see my previous post about lim

Answer 12

Behaviour model means what the function looks like.

Answer 13

\[\lim_{x \rightarrow \infty}f(x)\] or \[\lim_{x \rightarrow -\infty}f(x)\]

Answer 14

so i have to find both of those limits?

Answer 15

Not only. That's what I was trying to explain. You have asymptotes also.

Answer 16

you should but do the division first. it will make things much easier to see

Answer 17

D; what do you mean by do the division?