Question

what is the end of behavior of the graph of f(x)=3x^4-2x^2-x+5

Answer 1

Refer to the attached plot.

Answer 2

f(x)=3x^4-2x^2-x+5
The leading coefficient is positive and the highest power is even.
Therefore, the end behavior resembles x^2.
Left side end up and right side end also up much like y = x^2.