Question

medal!
describe the end behavior of each function.

Answer 1

\[f(x)=-x^4+x^2+4\]

Answer 2

it is apolynomial, of 4th order, take a look at this...
https://www.mathsisfun.com/algebra/polynomials-behave.html
all the info you need should be there, but feel free to ask if you don't understand something :D

Answer 3

so for this one the answer would be that both sides are going down?

Answer 4

\[f(x)=x^3-4x^2+7\]

Answer 5

and this one, the left side would be going down while the right side would be going up?

Answer 6

yes, the first one only has even grades, and the bigger has a negative coefficient, so its branches go down

Answer 7

awesome, thank you!

Answer 8

yeah! you are right about the second one too!
you can also graph them using just google, you can put this: x^3-4*x^2+7 in google's search bar and you should get a graph :)

Answer 9

coolio. thanks!

Answer 10

:D