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Math Help - End Behaviour from the equation!

  1. #1
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    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!!!
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  2. #2
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    Quote Originally Posted by kp11 View Post
    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!!!
    f(x) is a cubic function with a positive leading coefficient ... for such a cubic function, the end behavior is ...
    as x  \to \infty, f(x) becomes a very large (+) value and as 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.
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