Chapter 2 - MDC Faculty Home Pages

20) f(x) = 2x3 + 3x2 - 12x - 2
A) Relative minimum: - 1 11
,
2 4
B) Relative minimum: -2, 3 , relative maximum: 1, - 3
2
C) Relative maximum: -2, 3 , relative minimum: 1, - 3
2
D) Relative maximum: 1 21
, -
2 4
21) f(x) = (x - 5)2/3
A) Relative minimum: (5, 0) B) Relative minimum: (-5, 0)
C) Relative maximum: (-5, 0) D) There are no relative extrema.
22) f(x) = 20x3 - 3x5
A) Relative minimum: (-2, -64), relative maximum at (0,0)
B) Relative maximum at (0,0), relative minimum: ( 2, 64)
C) Relative minimum: (-2, -64), relative minimum at (0,0), relative maximum: ( 2, 64)
D) Relative minimum: (-2, -64), relative maximum: (2, 64)
Identify the intervals where the function is changing as requested.
23) Increasing
A) (-3, 3) B) (-2, 2) C) (-2, ∞) D) (-3, ∞)
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