Suppose f is a twice differentiable function such thatf′(x)>0 and f′′(x)<0 everywhere, and consider the followingdata table.
x     0      1      2
f(x)Â Â 3Â Â Â Â Â Â AÂ Â Â Â Â Â B
For each part below, determine whether the given values of A andB are possible (i.e., consistent with the information about f′andf′′ given above) or impossible, and explain your answer.
a)A= 5, B= 6
(b)A= 5, B= 8
(c)A= 6, B= 6
(d)A= 6, B= 6.1
(e)A= 6, B= 9
