Question

Describe the end behavior of the graph for each function.
1) f(x)=x^3+2x^2-5x+1
2) g(x)=-2x^3-8x^2+18x+72

Answer 1

Hi.

Answer 2

Do you remember the correlation between the highest degree of a polynomial and its end behaviour?

Answer 3

Yep! i'm just not sure how to properly describe it

Answer 4

would i just say down on the left and up on the right? is that correct for 1?

Answer 5

Yes

Answer 6

could i use the infinity signs or would that not work for this??

Answer 7

Or the graph is going negative when going to the left, and positive when going to the right.

Answer 8

You can use infinity signs. Infinity signs would actually be more accurate.

Answer 9

how would i write that?

Answer 10

That really depends.

Answer 11

@ganeshie8

Answer 12

I would use limits

Answer 13

I don't get it :/

Answer 14

I will show you what i mean.

Answer 15

\[\lim_{x \rightarrow -\infty} = -\infty\]

Answer 16

\[\lim_{x \rightarrow \infty} = \infty \]

Answer 17

It is a calculus concept.

Answer 18

You would use both of them.

Answer 19

okay i think i get it! thank you so much :)

Answer 20

No problem.