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. The choices are a) falls to the left, rises

Question 86490: 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. The choices are
a) falls to the left, rises to the right
b)rises to the left, falls to the right
c)falls to the left, falls to the right
d)rises to the left, rises to the right
e)none of these
I am thinking that it is a because both are going to negative infinity, is this correct?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
When the highest exponent is odd with a positive coefficient, the graph rises on the right, and falls on the left. However, if the coefficient is NEGATIVE, this reverses the graph, so it FALLS on the right, and RISES on the left. I say the answer is b). However, try graphing it in an appropriate window, to be determined by trial and error.

R^2
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