A function f is defined by `f(x)=x^(x) sin x` in `[0,pi]`. Which of the following is not correct?

A function f is defined by f(x)=e^(x) sin x in [0,pi] . Which of the following is not correct?

Let A={x""inR|xge0| . A function f:AtoA is defined by f(x)=x^(2) . Which one of the following is correct ?

Consider f (x)= sin ^(5) x-1, x in [0, (pi)/(2)], which of the following is/are correct ?

Consider f (x)= sin ^(5) x-1, x in [0, (pi)/(2)], which of the following is/are correct ?

Is the function defined by f(x)=x^(2)-sin x+5 continuous at x=pi