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**Choose the correct alternative:**

The function f(x) = x^{3} – 3x^{2} + 3x – 100, x ∈ R is

#### Options

increasing for all x ∈ R, x ≠ 1

decreasing

neither increasing nor decreasing

decreasing for all x ∈ R, x ≠ 1

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#### Solution

**increasing for all x ∈ R, x ≠ 1**

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