In what interval is the function f : x -> 2x - x\(^2\) increasing?
FURTHER MATHEMATICS
WAEC 2020
In what interval is the function f : x -> 2x - x\(^2\) increasing?
- A. x = 1
- B. x< 1
- C. x > 1
- D. 0< x< 1
Correct Answer: C. x > 1
Explanation
2x - x\(^2\) > 0
0 > x\(^2\) - 2x
x\(^2\) - 2x < 0
x(x - 2) < 0
x > 1
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