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Math Help - Condition for increasing function

  1. #1
    Senior Member
    Joined
    Jul 2009
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    Condition for increasing function

    The largest interval on which the function f(x) = x2 + 4x + 2 is increasing is

    a. [0, ~)
    b. (-~, 0]
    c. [-2, ~)
    d. (-~, -2]
    e. (-2, ~)

    The condition that the function is increasing is f '(x) > 0 or f ' (x) \geq 0?

    Thanks
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  2. #2
    Junior Member
    Joined
    Jan 2010
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    if f ' (x) 0, at the x value where f'(x)=0, the function is not increasing, as the slope is 0.
    Therefore, i think there should not be the equal sign
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