Question

This is going to be tricky, but this is the one I need the most help on, so please help me! How can I tell which expression best describes the end behavior of a graph?

Answer 1

Leading Coefficient Positive -> Right End Behavior Positive
Leading Coefficient Negative -> Right End Behavior Negative

Degree Even -> Left and Right Behavior Same
Degree Odd -> Left and RIght Opposite

Answer 2

I'm so confuzzled

Answer 3

Ok, what are your options?

Answer 4

Plug in extremely large positive and negative number and observe what you get

Answer 5

I have a graph here to go by, not an equation or function so you know

Answer 6

then you can't figure it out, end behavior could be anything since we can't see it

Answer 7

Grrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr, can you tell me how to tell from a graph?

Answer 8

If the question says "expression" but doesn't give you an expression then you won't be able to complete the queston properly.

Answer 9

You could say in general by taking particular examples though. For example, a polynomial expression has the behaviour at infinity dominated by the term with the highest power.

Answer 10

This is so hard...........

Answer 11

Could you draw the graph in Microsoft paint or something and attach it as a file to here?

Answer 12

Could I tell you some points?

Answer 13

?????

Answer 14

Yes ok just tell me some points :) I'll guess a bit lol...

Answer 15

(-2,2) (-1.5,0) about (-1,-1.75) (0,-1) about (.5,-.6) (2,-2.5) WATCH OUT FOR DECIMAL POINTS

Answer 16

Ok.. I'm sketching...

Answer 17

Hmm are you sure about the y coordinate of the second point and the y coordinate of the last one? All the others follow a smooth curve... Remember I can't promise you the answer you want! I can only answer it if the question is valid and can actually be answered...

Answer 18

Yup, I'm sure.

Answer 19

Well then in that case it has two maxima and one minimum but with a very irregular shape. If the question meant 'what english expression best describes the end behaviour of that particular graph' then (assuming it continues to descend after the last point) you could say as x tends to positive infinity the graph becomes "negatively divergent" or is "tending to negative infinity". I think that's the best possible answer. (if that last point represents a second minimum turning point before it rises to positive infinity then the best description would instead be "positively divergent" or "tending to positive infinity"). Hope that helps. : )

Answer 20

It kind of did, thanks! But there are all kinds of symbols for the answer like...... f(x)--->+\[\infty\], as x--->-\[\infty\]