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.
Thanks for any help
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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