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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1
Consider the function f(x)=x3−3x+3f(x)=x^3-3 x+3 on the interval [−3,3/2][-3,3 / 2]. Let M=Max⁡f(x)M=\operatorname{Max} f(x) and m=Min⁡f(x)m=\operatorname{Min} f(x) on [−3,3/2][-3,3 / 2]. Then
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Correct option: B
M=5,m=−15M=5, m=-15
Option B (M=5,m=−15M=5, m=-15) is correct because the maximum and minimum values of the function on the interval are 5 and -15, respectively.

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