Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

question 241

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

• A) local maximum at \(x = - 1\); local minimum at \(x = - \frac { 2 } { 3 }\)
• B) local maximum at \(x = - \frac { 1 } { 3 }\); local minimum at \(x = - 2\)
• C) local maximum at \(x = 2\); local minimum at \(x = \frac { 1 } { 3 }\)
• D) local maximum at \(x = \frac { 2 } { 3 }\); local minimum at \(x = 1\)