What is the end behavior of the function f (x) = 2x^4 + 3x^3 - 9x^2 + 65x - 586?

the end behavior is it's going up left and up right

Step-by-step explanation:

since n (the exponent of a (2) is even) it goes up left and up right, another factor that makes it go that way would be the (2) since it is larger than 0

a<0 (but n is even)

goes down left and right

a>0 (n is even)

goes up left and right