SOLUTION: (a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1 (b)Determine the left-hand and right-hand behavior of f(x)= 3x^4 + 2x^3 + 7x^2 + x

Click here to see ALL problems on Linear-equations

Question 651222: (a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1
(b)Determine the left-hand and right-hand behavior of f(x)= 3x^4 + 2x^3 + 7x^2 + x - 1
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
(a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1
------
left and right-hand behavior depends on the highest power term of the function.
Highest power term: -4x^2+3x^2 = -x^2
----
As x approaches -oo -x^2 approaches -oo
As x approaches +oo -x^2 approaches -oo
===============================================

(b)Determine the left-hand and right-hand behavior of f(x)= 3x^4 + 2x^3 + 7x^2 + x - 1
Highest power term 3x^4
As x approaches -oo 3x^4 approaches +oo
As x approaches +oo 3x^4 approaches +oo
==================
Cheers,
Stan H.

SOLUTION: (a)Determine the left-hand and right-hand behavior of the graph of f(x) =-4x^2 + 3x^2 - 1 (b)Determine the left-hand and right-hand behavior of f(x)= 3x^4 + 2x^3 + 7x^2 + x - 1