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Question

If f(x)={3x2+12x+1,1x237x,2<x3, then

A
f(x) is increasing in [1,2]
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B
f(x) is continuous in [1,3]
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C
f(x) is maximum at x=2
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D
all of the above
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Solution

The correct option is B f(x) is maximum at x=2
f(x)={6x+12,1x21,2x3
(6x+12)[6,24]
increases in [1,2]
f(x). is maximum at x=2

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