We define the first difference of a function by (x) = (x +
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We define the first difference δ ƒ of a function ƒ by δ ƒ(x) = ƒ(x + 1) − ƒ(x).
Show that for any two functions ƒ and g, δ(ƒ + g) = δ ƒ + δg and δ(c ƒ) = cδ(ƒ), where c is any constant.
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