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In what interval is the function f : x -> 2x - x\(^2\) increasing?

In what interval is the function f : x -> 2x - x\(^2\) increasing?
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  • A X = 1
  • B X < 1
  • C X > 1
  • D 0 < x < 1
Correct Answer: Option C
Explanation:
2x - x\(^2\) > 0
0 > x\(^2\) - 2x
x\(^2\) - 2x < 0
x(x - 2) < 0
x > 1

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