Solve the Problem $f ( x ) = 2 x ^ { 2 } + 3 x + 5$

Multiple Choice

Solve the problem.
-Estimate graphically the local maximum and local minimum of $f ( x ) = 2 x ^ { 2 } + 3 x + 5$ .

A) Local maximum: $3.88$ ; local minimum: $- 0.75$
B) Local maximum: $3.88$ ; no local minimum
C) No local maximum; local minimum: $- 0.75$
D) No local maximum; local minimum: $3.88$