GATE | Gate IT 2008 | Question 29

If f(x) is defined as follows, what is the minimum value of f(x) for x ∊ (0, 2] ?
(A) 2
(B) 2(1/12)
(C) 2(1/6)
(D) 2(1/2)

Answer: (B)

Explanation: It can be understood as dividing f(x) in 2 parts,first part is a decreasing function (where x<=(3/2) and the second part is increasing function. So, at connecting point should be minimum.

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