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Math Help - Periodic Functions

  1. #1
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    Periodic Functions

    The function f with domain R (all real numbers) is defined by f(x) = e^[cos(x)]. Prove that f is periodic and state its period.

    I've always had trouble with graphs. Could someone please explain to me how this particular type of question works again?

    Thanxx!
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  2. #2
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    Quote Originally Posted by xwrathbringerx View Post
    The function f with domain R (all real numbers) is defined by f(x) = e^[cos(x)]. Prove that f is periodic and state its period.
    Did you graph this function?
    The function has a maximum of e and a minimum of \frac{1}{e}.
    Now what values of \cos(x) make that happen?
    In what range?
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