Find the Absolute Extreme Values of the Function on the Interval

question 165

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$g ( x ) = - x ^ { 2 } + 7 x - 12,4 \leq x \leq 3$$

• A) absolute maximum is \(\frac { 1 } { 4 }\) at \(x = \frac { 9 } { 2 } ;\) absolute minimum is 0 at 3 and 0 at \(x = 4\)
• B) absolute maximum is \(\frac { 97 } { 4 }\) at \(x = \frac { 7 } { 2 }\); absolute minimum is 0 at 3 and 0 at \(x = 4\)
• C) absolute maximum is \(\frac { 1 } { 4 }\) at \(x = \frac { 7 } { 2 }\); absolute minimum is 0 at 3 and 0 at \(x = 4\)
• D) absolute maximum is \(\frac { 5 } { 4 }\) at \(x = \frac { 9 } { 2 }\); absolute minimum is 0 at 3 and 0 at \(x = 4\)