Question

Please help me!!!
Determine the end behavior of the graph of the polynomial function:
y=3x⁴+6x³-x²+12

Answer 1

the degree is even (it is 4)
think about the "end behaviour" of \(y=x^2\) this will be the same

Answer 2

Thanks for the degree I overlooked that :p, I'm still a little confused, I'm sure its super easy. Is the end behavior seen in the equation?

Answer 3

You might want to refresh on the end behavior concepts.
http://www.purplemath.com/modules/polyends.htm

The first two pictures will help you.

Answer 4

as \(x\to \infty\) you have \(y\to \infty\) and as \(x\to \infty\) you have \(y\to \infty\) as wll

Answer 5

Okay,thank you!

Answer 6

It was my pleasure!