Solve the Problem
A) Local Maximum $9.20$ ; Local Minimum $1.06$

Solve the problem.
-Estimate graphically the local maximum and local minimum of $\mathrm { f } ( \mathrm { x } ) = 0.02 \mathrm { x } ^ { 5 } - 0.04 \mathrm { x } ^ { 4 } - 0.06 \mathrm { x } ^ { 3 } + 1.46 \mathrm { x } ^ { 2 } + 1$ .

A) Local maximum: $9.20$ ; local minimum: $1.06$
B) Local maximum: $- 2.79$ ; local minimum: 0
C) Local maximum: 8.65; local minimum $0.91$
D) Local maximum: 7.86; local minimum: 1