The function *f* is discontinuous at and at , therefore we can't use the Extreme Value Theorem on any intervals that include either of those values. - - We can't use the Extreme Value Theorem because
*f* is discontinuous on this interval.
- [0,π] - We can't use the Extreme Value Theorem because
*f* is discontinuous on this interval.
- (0,π) - We can't use the Extreme Value Theorem because this interval is not closed.
- - We can use the Extreme Value Theorem since the function
*f* is continuous on this interval and the interval is closed.
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