Show that C[0,1] and C[a,b] are isometric.

Solution:

A mapping T of X into X' is said to be isometric if for all x, y in X

d'(Tx,Ty)=d(x,y)

C is continous [0,1] and [a,b] closed interval..

The distance on Function space C[a,b] is d(x,y)=max|x(t)-y(t)|

I couldnt procced from here....i need some help....

thanks