Given the following function rules and domains, find the associated ranges.

Question

(a) f(x) = 2x +3, Domain = {0, 1, 2}
(b) f(x) = 0, Domain = {0, 1, 2}
(c) f(x) = 2x + x2, Domain = {1, 0, 2}

Answer 1

Given a domain D, the range is the set {f(x) for all x element of D}

(a)
The range = {f(0), f(1), f(2)}.

Remember that sets need not contain duplicates.