Consider the following statements in respect of the function f(x) = x in the interval (-1, 1): I. The function attains maximum value. II. The function attains minimum value. Which of the statements given above is/are correct?
A.I only
B.II only
C.Both I and II
D.Neither I nor II✓ Correct
Explanation
On the open interval (-1, 1), f(x) = x is strictly increasing. The supremum is 1 (not attained) and infimum is -1 (not attained) since the interval is open. Hence neither maximum nor minimum is attained. Both statements are incorrect.
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