Show that the function f defined by `f(x)=|1-x+x|,` where x is any real number, is a continuous function.

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Show that the function f defined by f(x) = |1-x+|x|| where x is any real number, is a continuous function.

Show that the function f defined by f(x)=|1-x+|x|| , where x is any real number is a continuous function.

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Show that the function f defined by f(x)= |1-x + |x|| where x is any real number is continous.

Show that the function f defined by f(x)=|1-x+|x|| is everywhere continuous.

Show that the function f defined by f(x)=|1-x+|x|| is everywhere continuous.

Show that the function defined by f(x)=|cos x| is a continuous function.