SOLUTION: I have a question that states: determine the right-hand and left-hand behavior of the graph of the function f(x)=-4x^5+3x^2-4/2. Can someone help me with this? I have no clue h

Question 86303: I have a question that states: determine the right-hand and left-hand behavior of the graph of the function f(x)=-4x^5+3x^2-4/2. Can someone help me with this? I have no clue how to figure this out.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
determine the right-hand and left-hand behavior of the graph of the function
f(x)=-4x^5+3x^2-4/2.
------------
It might be asking for the end behavior of the function.
--------
As x gets larger and larger (right hand behavior) the term -4x^5 determines
what happens to the y value of the function. Since -4x^5 becomes very negative as x gets larger and larger the right-hand behavior is described as follows:
"As x goes to positive infinity, f(x) goes to negative infinity".
--------------
As x gets more and more negative -4x^5 gets more and more negative.
The left-hand behavior is described as follows:
"As x goes to negative infinity, f(x) goes to negativive infinity".
===============
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)

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

Identify the right-hand and left-hand behavior of the graph of the polynomial function:... (answered by stanbon)

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

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

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

I have a question that states: use descartes' rule of signs to determine the possible... (answered by stanbon)