# End Behaviour from the equation!

• Sep 17th 2008, 01:14 PM
kp11
End Behaviour from the equation!
Hey all,

Im having difficulty with my advanced functions homework. One question states:

"Describe the end behaviour of the graph from the equation:
f(x)=(x-4)(x+3)(2x-1)"

I have no clue how to find the end behaviour from just the equation, although i do know how to find it from a drawn graph. Please help!!!(Smirk)(Smirk)
• Sep 17th 2008, 02:16 PM
skeeter
Quote:

Originally Posted by kp11
Hey all,

Im having difficulty with my advanced functions homework. One question states:

"Describe the end behaviour of the graph from the equation:
f(x)=(x-4)(x+3)(2x-1)"

I have no clue how to find the end behaviour from just the equation, although i do know how to find it from a drawn graph. Please help!!!(Smirk)(Smirk)

f(x) is a cubic function with a positive leading coefficient ... for such a cubic function, the end behavior is ...
as $\displaystyle x \to \infty$, f(x) becomes a very large (+) value and as $\displaystyle x \to \infty$, f(x) becomes a very large (-) value.

it's just a matter of knowing the general end behavior of odd degree polynomial functions.