If 0 < x ≤ 1, then which one of the following is the maximum value of (x - 1)2 + x?
Solution
Correct Answer: Option A
0 < x ≤ 1
= 0 - 1 < x - 1 ≤ 1 - 1
= - 1 < x - 1 ≤ 0
the maximum value of (x - 1)2 + x is = 02 + 1 = 1
= 0 - 1 < x - 1 ≤ 1 - 1
= - 1 < x - 1 ≤ 0
the maximum value of (x - 1)2 + x is = 02 + 1 = 1
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