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Let f(x)=∣x∣×∣x−1∣ f(x) = |x| \times |x-1| f(x)=∣x∣×∣x−1∣
What is the maximum value of f(x) f(x) f(x) over the range 0<x<1 0 < x < 1 0<x<1?
Notation: ∣⋅∣ | \cdot | ∣⋅∣ denotes the absolute value function.
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