the function f is twice differentiable,and the graph of f has no points of inflection.if f(6)=3,

问题描述:

the function f is twice differentiable,and the graph of f has no points of inflection.if f(6)=3,
f'(6)=-1/2,and f''(6)=-2,which of the following could be the value of f(7)?
a.2 b.2.5 c.2.9 d.3 e.4
有没有合理的解释?

f'(6)=-1/2=>f(7)故答案在a,b,c中
the graph of f has no points of inflection并且f''(6)=-2 =>
f'(6+dx)那么f(7)故只有a是有可能的值