(B)
(C)
(D)
(A)
(B)
(C)
(D)
I.
II.
III.
(A)
(B)
(C)
(D)
3
4
6
Which statement is true?
If f ′(c) = 0, then f has a local maximum or minimum at (c,f(c)).
If f ′′(c) = 0, then the graph of f has an inflection point at (c,f(c)).
If f is differentiable at x = c, then f is continuous at x = c.
If f is continuous on (a, b), then f maintains a maximum value on (a,
b).
The graph of f ′ is shown above. Which statements about f must be true
for a < x < b?
f is increasing.
f is continuous.
f is differentiable.
I only
II only
I and II only
I, II, and III
Given and g′(x) < 0 for all x, select the table that could
represent g on the interval [−1,4].
