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Math Help - graph

  1. #1
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    graph

    hi,

    i'm currently doing questions on graphs of cubic functions and i'm encountering something i don't quite understand, the book keeps saying something like "the coefficient of x^3 is + 2 so the shape of the graph is the same as y = x^3 when x is numerically very large."

    what does this mean and why? and why would it not be the case if x were small?

    thanks for any info, mark
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  2. #2
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    Quote Originally Posted by mark View Post
    hi,

    i'm currently doing questions on graphs of cubic functions and i'm encountering something i don't quite understand, the book keeps saying something like "the coefficient of x^3 is + 2 so the shape of the graph is the same as y = x^3 when x is numerically very large."

    what does this mean and why? and why would it not be the case if x were small?

    thanks for any info, mark
    look at the graphs ...

    y = x^3

    \textcolor{green}{y = 2x^3}

    \textcolor{red}{y = \frac{1}{2}x^3}
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  3. #3
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    i see, so the larger the coefficient of x, the closer the line of the graph is to the y axis. but i thought it was more to do with what the actual value of x^3 was rather than the coefficient?
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