Question 41606
Identify the right-hand and left-hand behavior of the graph of the polynomial function:  f(x) = 6x^4 – x^2. When I graph this I get a "U" shape (-1,4) (0,0),(1,4). I can see that the "y" continues on line "4" is that the behavior of the left and right hand.
f(x) = 6x^4 – x^2.

If x=-1, f(-1)=6-1=5 giving the point (-1,5)
If x=0, f(0)=0 giving the point (0,0)
If x=1, f(1)=6-1=5 giving the point (1,5)

The graph is symmetric to the y-axis. 
The left-hand side is symmetric to the right-hand side.
Cheers,
Stan H.