31.
32.
33.
Part B
(B) The sign diagram shows that f changes from increasing to decreasing
at x = 4
and thus f has a maximum there. Because f increases to the right of x = 0
and decreases to the left of x = 5, there are minima at the endpoints.
(C) Since f ′ decreases, increases, then decreases, f ′′ changes from
negative to positive, then back to negative. Hence, the graph of f changes
concavity at x = 2 and x = 3.
(A)
On the curve of f(x) = ex − x^2 , the two points labeled are (0,1) and (1, e −
1).
