设-∞<x<+∞,则 (1)f’(x)=________. (2)f(x)的单调性是________. (3)f(x)的奇偶性是________. (4)其图形的拐点是________. (5)凹凸区间是________. (6)水平渐近线是_______

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问题-∞<x<+∞,则
(1)f’(x)=________.
(2)f(x)的单调性是________.
(3)f(x)的奇偶性是________.
(4)其图形的拐点是________.
(5)凹凸区间是________.
(6)水平渐近线是________.

选项

答案[*]在(一∞,+∞)上单调增,奇函数,(0,0),在(一∞,0)上凹,在(0,+∞)下凹, [*]

解析 (1)
(2)因为则f(x)在(一∞,+∞)上单调增;
(3)因为则f(x)是奇函数.
(4)因为且在x=0两侧f’’(x)变号,则(0,0)为拐点;
(5)因为当x<0时,f’’(x)>0.曲线y=f(x)上凹,当x>0时,f’’(x)<0,曲线y=f(x)下凹;
(6)则曲线y=f(x)有两条水平渐近线
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