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f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x","...

`f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):}`
Which of the following statements is /are correct?
1. f(x) is increasing in the interval [-1,2].
2. f(x) is decreasing in the interval (2,3].
Select the correct answer using the code given below:

A

f(x) is increasing in [-1,2]

B

f(x) is continuous in [-1,3]

C

f(x) is maximum at x=2

D

all of the above

Text Solution

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The correct Answer is:
D
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