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Let f(x) be and even function in R. If f...

Let f(x) be and even function in R. If f(x) is monotonically increasing in [2, 6], then

A

`f(3) lt (-5)`

B

`f(4)ltf(-3)`

C

`f(2)gt f(-3)`

D

`f(-3)ltf(5)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
as f(x) is even, `f(-2)=f(2)`
As f(x) is increasing in `[2,6],f(3)ltf(5)=f(-5)`
Also `f(3)lt f(5)rArr f(-3)ltf(5)`
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