Find the Absolute Extreme Values of the Function on the Interval

question 91

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = e ^ { x } - x , - 4 \leq x \leq 2$$

• A) Minimum value is \(\mathrm { e } ^ { - 4 } + 4\) at \(\mathrm { x } = - 4\); maximum value is \(\mathrm { e } ^ { 2 } - 2\) at \(\mathrm { x } = 2\)
• B) Minimum value is 1 at \(x = 0\); no maximum value
• C) Minimum value is 1 at \(x = 0\); maximum value is \(\mathrm { e } ^ { 2 } - 2\) at \(x = 2\)
• D) Minimum value is 1 at \(x = 0\); maximum value is \(e ^ { - 4 } + 4\) at \(x = - 4\)

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