Find the Absolute Extreme Values of the Function on the Interval

question 32

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = \csc x , - \frac { \pi } { 2 } \leq x \leq \frac { 3 \pi } { 2 }$$

• A) absolute maximum is 1 at \(x = \pi\); absolute minimum is \(- 1\) at \(x = \pi\)
• B) absolute maximum is \(- 1\) at \(x = \pi\); absolute minimum is 1 at \(x = 0\)
• C) absolute maximum is 0 at \(x = - \pi\); absolute minimum is \(- 1\) at \(x = \pi\)
• D) absolute maximum does not exist; absolute minimum does not exist

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