1.
f(x) = x3 - 3x2 + 1
A) Relative maximum at (2, -3)
B) Relative maximum at (-2, -19); relative maximum at (0, 1)
C) Relative maximum at (0, 1); relative minimum at (2, -3)
D) Relative minimum at (0, 1); relative maximum at (2, -3)
2.
y = x3 - 3x2 + 4x - 4
A) Relative maximum at (2, 0)
B) Relative maximum at (-1, 0)
C) No relative extrema exist
3.
D) Relative minimum at (1, 0)
f(x) = 2x2 - 16x + 27
A) Relative minimum at ( -5, 4)
B) Relative minimum at ( 5, -4)
C) Relative minimum at ( 4, -5)
D) Relative maximum at ( -4, 5)
4.
f(x) = 0.2x2 - 2.4x + 5.9
A) Relative minimum at ( 6, 0)
B) Relative maximum at ( 6, -1.3)
C) Relative minimum at ( 6, -1.3)
D) Relative minimum at ( -6, 27.5)
5.
f(x) = x2 - 4x + 7
A) Relative maximum at (2, 3)
B) Relative maximum at (3, 2)
C) Relative minimum at (2, 3)
6.
D) Relative minimum at (3, 2)
f(x) = x3 - 12x + 4
A) Relative maximum at (5, 69); relative minimum at (2, -12)
B) Relative maximum at (5, 69); relative minimum at (-3, 13)
C) Relative maximum at (-2, 20); relative minimum at (2, -12)
7.
D) Relative minimum at (-2, 20); relative maximum at (2, -12)
f(x) = -6x2 - 2x - 7
A) Relative maximum at
B) Relative maximum at
C) Relative minimum at
D) Relative maximum at
8.
s(x) = -x2 - 20x - 19
A) Relative maximum at ( -10, 81)
B) Relative maximum at ( 10, 81)
C) Relative minimum at ( 20, -19)
D) Relative maximum at ( -20, -19)
9.
f(x) = -6x3 + 4
A) Relative maximum at (0, -6)
B) Relative maximum at (0, 4)
C) No relative extrema exist
10.
D) Relative minimum at (0, 4)
f(x) = 3x4 + 16x3 + 24x2 + 32
A) Relative maximum at (-2, 48), relative minimum at (0, 32)
B) Relative minimum at (-2, 48), relative maximum at (0, 32)
C) Relative minimum at (0, 32)
D) Relative minimum at (-2, 48)
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