Let A = [–1, 1]. discuss whether the following functions defined on A are one-one, onto or bijective: f(x) = x/2

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Harshit Singh · Answer

Dear Student f: [-1, 1] &rarr; [-1, 1], f (x) = x/2 Let f (x1) = f(x2) x1/ 2 = x2 Thus, f (x) is one-one. now x&isin;[-1, 1] x/2 = f (x) = [-1/2, 1/2] Hence, the range is a subset of co-domain &lsquo;A&rsquo; thus, f (x) is not onto. Thus, f (x) is not bijective Thanks

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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

1 Answers

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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

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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