Find maximum and minimum value; if any; for `f(x) = -|x - 1| + 5` for all `x in R`

Find the maximum and the minimum values of f(x)=-|x-1|+5 for all x in R, if any.

Find the maximum and minimum values of f(x)=(1-x)+|x|

Find the maximum and minimum value of f if any of the function f(x)=|x-1|, x in R .

Find the maximum and the minimum values of f(x)=|x+3| for all x in R, if any.

Without using the derivative, find the maximum or minium values, if any of the function f(x) = 4x^(2) - 4x + 7 for all x in R

Find the maximum and the minimum values of f(x)=x^(3)+1 for all x in R, if any.

Find the maximum and the minimum values of f(x)=sin(sin x) for all x in R, if any.

Find the maximum and minimum values of f(x)=-|x+1|+3 on R, if any,without using derivatives.

What are the maximum and minimum values, if any, of f(x)=x, x in (0, 1) ?