Which one of the following is correct in respect of the function `f:RRtoRR^(+)` defined as `f(x)=|x+1|`?

Which one of the following is correct in respect of the function f(x)=|x|+x^(2)

Which one of the following is correct in respect of the function f(x)=|x|+x^(2) ?

Which one of the folloiwng is correct in respect of the function f(x)=x(x-1)(x-1) ?

Which one of the following statement is correct in respect of the function f(x)= x^(3) sin x ?

Which one of the following is correct in respect of the function f(x)=(x^(2))/(|x|) for xne0 and f(0)=0 ?

Which one of the following is correct in respect of the function f(x)=(x^(2))/(|x|)" for "xne0andf(0)=0