SOLUTION: Hi so here's my question: given the graph of the function y=x^3-3x^2-6x+8, answer the following. All answers must be rounded properly to one decimal place. Here are the plotted p

Algebra ->  Rational-functions -> SOLUTION: Hi so here's my question: given the graph of the function y=x^3-3x^2-6x+8, answer the following. All answers must be rounded properly to one decimal place. Here are the plotted p      Log On


   

Question 1174625: Hi so here's my question: given the graph of the function y=x^3-3x^2-6x+8, answer the following. All answers must be rounded properly to one decimal place.
Here are the plotted points: (-0.732, 10.392) (-2,0) (1,0) (4,0) (2.732,-10.392)
What is the end behavior? As x approaches infinite, F(X) approaches _____?
As x approaches negative infinite, F(X) approaches ______?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

first graph it
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3-3x%5E2-6x%2B8%29+
The end behavior of a function f+%28x+%29+ describes the behavior of the function as +x+approaches infinity+ and as x+ approaches -+infinity .

Function end behavior of F%28x%29=x%5E3-3x%5E2-6x%2B8 is:
find
lim%28x-%3Einfinity%2C%28x%5E3-3x%5E2-6x%2B8%29%29=infinity
lim%28x-%3E-infinity%2C+%28x%5E3-3x%5E2-6x%2B8%29%29=-infinity
answer:
as x+-%3E+infinity, F%28X%29+-%3Einfinity,
and
as x-%3E+-infinity, F%28X%29+-%3E+-infinity