Question

設f′(x)是函數f(x)的導函數,y=f′(x)的圖象如下圖所示,則y=f(x)的圖象最有可能是(    )

Answer 1

解析:由y=f′(x)的圖象可得.

    ∵當x＜0時,f′(x)＞0,

    ∴y=f(x)在(-∞,0)上單調遞增.

    ∵當0＜x＜2時,f′(x)＜0,

    ∴y=f(x)在(1,2)上單調遞減.

    ∵當x＞2時,f′(x)＞0,

    ∴y=f(x)在(2,+∞)上單調遞增.

答案:C