Let f(x)=log(2x-x^2)+sin(pix)/2dot Then ...

Let `f(x)=log(2x-x^2)+sin(pix)/2dot` Then which of the following is/are true? Graph of `f` is symmetrical about the line `x=1` Maximum value of `f` is1. Absolute minimum value of `f` does not exist. none of these

Similar Questions

Explore conceptually related problems

Let f(x)=In (2x-x^(2))+"sin"(pix)/(2). Then

If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following is/are true

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

Find the absolute maximum value and the absolute minimum value of f(x)=sin x+cos x in [0,pi]

If the graph of the function y=f(x) is symmetrical about the line x=2, then

Find the absolute maximum and absolute minimum value of f(x) =(x-2) sqrt(x-1) in [1,9]