Formula:- (i)if f(-x)=f(x) then function is even

(ii) if f(-x)=-f(x) then function is odd

(iii) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a,b) is that f’(x)>0 for all x(a,b)

Given:-

f(x)=)

f^’(x)>0

hence function is increasing function

f(-x)=-log()

f(-x)=-f(x) is odd function