I.
II.
III.
(A)
(B)
(C)
(D)
(E)
I.
II.
III.
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(C)
(D)
(E)
(A)
(B)
(D)
(C)
If , which of these statements are true?
exists.
f is continuous at x = 1.
f is differentiable at x = 1.
none
I only
I and II only
I and III only
I, II, and III
If , which of these statements are true?
exists.
g is continuous at x = 3.
g is differentiable at x = 3.
I only
II only
III only
I and II only
I, II, and III
The function f (x) = x2/3 on [−8, 8] does not satisfy the conditions of the
Mean Value Theorem because
f (0) is not defined
f (x) is not continuous on [−8, 8]
f ′(−1) does not exist
f (x) is not defined for x < 0
f ′(0) does not exist
If f (x) = 2x^3 − 6x, at what point on the interval 0 ≤ x ≤ , if any, is the
tangent to the curve parallel to the secant line on that interval?
1
−1
0
