SOLUTION: 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 t

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.

RELATED QUESTIONS
(a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1 (answered by stanbon)

Determine the right-hand and left-hand end behavior of the polynomial function,... (answered by solver91311)

State the right and left hand behavior of the graph of f(x)=6x^3+40x leading... (answered by Fombitz)

I have a question that states: determine the right-hand and left-hand behavior of the... (answered by stanbon)

Graph the function f(x) = �x4 � 4 by hand and describe the end behavior. (answered by lynnlo)

1/3x^3+5x right and left hand behavior of the... (answered by stanbon)

Graph the function f(x) = (x + 3)3 by hand and describe the end... (answered by ewatrrr)

I have a question that states: determine the right-hand and left-hand behavior of the... (answered by rapaljer)

Choose the end behavior of the graph of each polynomial function. (a) f(x) =... (answered by Boreal)