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Let A = [–1, 1]. discuss whether the following functions defined on A are one-one, onto or bijective: f(x) = x/2 Let A = [–1, 1]. discuss whether the following functions defined on A are one-one, onto or bijective: f(x) = x/2
Dear Studentf: [-1, 1] → [-1, 1],f (x) = x/2Let f (x1) = f(x2)x1/ 2 = x2Thus, f (x) is one-one.now x∈[-1, 1]x/2 = f (x) = [-1/2, 1/2]Hence, the range is a subset of co-domain ‘A’thus, f (x) is not onto.Thus, f (x) is not bijectiveThanks
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