Question: We define the first difference of a function by (x) = (x + 1) (x). Show that if (x)

We define the first difference δ ƒ of a function ƒ by δ ƒ(x) = ƒ(x + 1) − ƒ(x).

Show that if ƒ (x) = x2, then δ ƒ(x) = 2x + 1. Calculate δ ƒ for ƒ(x) = x and ƒ(x) = x3.

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