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    Rate of growth of functions

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    Use a graphing utility to graph f and g in the same window and determine which is increasing at the faster rate for "large" values of x. What can you conclude about the rate of growth of the natural logarithmic function?

    f(x) = ln x, g(x) = the square root of x

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    Solution Preview

    The following data points show how f(x) and g(x) vary as a function of x.

    x f(x) g(x)
    1 0 1
    5 1.609437912 2.236067977
    10 ...

    Solution Summary

    Thiss hows how to use a graphing utility to determine rate of increase of functions.