Question

What is the end behavior of g(x) = –3x4 + 2x3 – x2 + 4?



As x goes to negative infinity, g(x) goes to positive infinity; as x goes to positive infinity, g(x) goes to positive infinity.

As x goes to negative infinity, g(x) goes to negative infinity; as x goes to positive infinity, g(x) goes to negative infinity.

As x goes to negative infinity, g(x) goes to negative infinity; as x goes to positive infinity, g(x) goes to positive infinity.

As x goes to negative infinity, g(x) goes to positive infinity; as x goes to positive infinity, g(x) goes to negative infinity.

Answer 1

I have graphed it but I still don't understand it

Answer 2

Oh okay well I know this stuff. Does this function give you a linear, cubic, or quadratic graph?

Answer 3

quadratic

Answer 4

Okay so are both the arms on one side of the y-axis or is it one on each side? And what direction are they pointing?

Answer 5

one each and it looks like a sad face

Answer 6

lol so both facing down. So do you know what maximums and minimums are?

Answer 7

no

Answer 8

Okay the maximum is the highest point on the parabola, but you measure it with the y-axis. The minimum is the exact opposite of that; the lowest point of the parabola, but measured on the y-axis. Most of the time the minimum and maximum are ON the y-axis tho

Answer 9

oh ok :)

Answer 10

Okay so because the arrows point down, you know there will only be a maximum. If the arrows pointed upwards, you'd have only a minimum. So what is the maximum on your quadratic graph?

Answer 11

4

Answer 12

this can be helpful too
check it out
http://judydolan.tripod.com/webonmediacontents/polynomial%20graph%20chart.png

Answer 13

I think I got it


As x goes to negative infinity, g(x) goes to positive infinity; as x goes to positive infinity, g(x) goes to positive infinity?

Answer 14

@biooverload

Answer 15

Yup, that's how I understand it :) Hope I helped. n thanks for the medal!

Answer 16

np