Compare and contract the two functions below (defined on the interval [0, 2]

a) f(x) = e^sinx

b) g(x) = ((2(e-1)/)x)+1 ; 0<= x <= /2

= ((e-1/e)/(-))*(x-/2)+e ; /2 <= x <= 3/2

= (2(e-1)/e)*(x- (3/2))+1 ; 3/2<= x <= 2

Can g(x) on [0, 2 ] be extended in the natural way to begin periodic on [0, ] in a continuous fashion ?]