1.

consider the function f(X) =x+cosx -a which of the following is not true about y =f(x)?

Answer»

It is an increasing function
It is a monotonic function
It has infinite POINTS of INFLECTION s
None of these

Solution :`f(x)=x+cosx-a or f(X)=1 -SINX ge 0 FORALL x in R`
Thus f(X) is increasing in `(-oo,oo)` as for f(x) =0 x is not forming an interval also
f(X) =-cos x =0
or `x =(2n+1)(pi)/(2),nin Z`
Hence there are infinite points of inflection
Now f(x) =1-a
For positive root `1-alt0 or agt1` for negative root `1-agt 0 or a lt1`


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