Solve the Problem $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } + x ^ { 2 } - 3 x$

Multiple Choice

Solve the problem.
-Estimate graphically the local maximum and local minimum of $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } + x ^ { 2 } - 3 x$ .

A) Local maximum: 8.53; local minimum: $- 2.01$
B) Local maximum: $1.67$ ; local minimum: $- 9$
C) Local maximum: 9; local minimum: $- 1.67$
D) Local maximum: 9; local minimum: $1.06$