Make graphs of the periodic extensions on the region x ∈ [−3π,3π] of the following functions f defined on x ∈ [−π,π]. be sure to indicate the extension’s exact value at all points in x ∈ [−3π,3π], particularly at jump discontinuities (if any). also, determine if the extension is continuous or not on the real line. (a.) f (x) = sin (x). (b.) f (x) = sin (x/2). (c.) f (x) = cos (x/4). (d.) f (x) = |x|. (e.) f (x) = x. (f.) f (x) = 1. (g.) f (x) = e^x. (h.) f (x) = e^|x|.