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prove. Statement 1. If f: [0,1](0,1) is increasing, then f attains its maximum. Statement 2. If f: (0,1)(0,1) id decreasing, then f attains its maximum.
prove.
Statement 1.
If f: [0,1](0,1) is increasing, then f attains its maximum.
Statement 2.
If f: (0,1)(0,1) id decreasing, then f attains its maximum.
Statement 3.
If f: (0,1)[0,1] is surjective, then f attains its maximum.
Statement 4.
If f: [0,1][0,1] is injective, then f attains its maximum
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