Suppose f is a twice differentiable function such that
f′(x)>0 and f′′(x)<0 everywhere, and consider the following
data table.
x
0
1 2
f(x) 3
A B
For each part below, determine whether the given values of A and
B are possible (i.e., consistent with the information about f′and
f′′ 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