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14 April, 14:01

F (x) = 3x^4 is even or odd?

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Answers (2)
  1. 14 April, 15:06
    0
    Step-by-step explanation:

    it's even because f (-x) = f (x)
  2. 14 April, 15:33
    0
    even function

    Step-by-step explanation:

    recall that:

    a function is EVEN if and only if f (-x) = f (x) for all x in the domain of f

    a function is ODD if and only if f (-x) = - f (x) for all x in the domain of f

    we observe that for the function

    f (x) = 3x^4

    because x has been raised to an even power, that f (x) will always be positive (or zero), regardless of whether x is negative or positive.

    i. e

    f (x) = f (x) and f (-x) = f (x)

    This behavior is described by the definition of an EVEN function (given above)

    Hence f (x) is an even function
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