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Let R be the set of real number and f: R...

Let R be the set of real number and `f: R to R` be given by `f(x)=sqrt(|x|)- log (1+|x|)`. We now make the following assertions :
I. There exists a real number A such that `f(x) leA` for all x.
II. There exists a real number B such that `f(x) geB` for all x.

A

I is true and II is false

B

I is false and II is true

C

I and II both are true

D

I and II both are false

Text Solution

Verified by Experts

The correct Answer is:
B
graph of given function actually look like this

Clear from graph option (B) is right.
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