If f(x) = cases 3x^2 + 12x - 1, & x [-1, 2] 37 - x, & x (2, 3] cases then

JEE Advanced Mathematics question

If then

(A) is monotonic increasing in Correct
(B) is continuous in Correct
(C) has the maximum value at Correct
(D) does not existCorrect

Answer: (A),(B),(C),(D)

Solution

(a) On , , so is increasing. True. - (b) Each piece is a polynomial, so the only point to check is . There , the left limit is , and . So is continuous on $[-1,

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Question ID VK-110135