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Let f : R → R be a function defined by f(x) = 2 1 n n ) 5 – x ( ) 3 – x ( , n 1 ,n 2 ∈ N. Then, which of the following is NOT true ?

1. For n 1 = 3, n 2 = 4, there exists α ∈ (3, 5) where f attains local maxima.
2. For n 1 = 4, n 2 = 3, there exists α ∈ (3, 5) where f attains f attains local minima.
3. For n 1 = 3, n 2 = 5, there exists α ∈ (3, 5) where f attains local maxima.
4. For n 1 = 4, n 2 = 6, there exists α ∈ (3,5) where f attains local maxima.

Correct answer: For n 1 = 3, n 2 = 5, there exists α ∈ (3, 5) where f attains local maxima.

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