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in Relations and Functions by (48.0k points)

Give one example of each of the following function:
(i) One-one into
(ii) Many-one onto
(iii) Onto but not one-one
(iv) One-one but not onto
(v) Neither one-one nor onto
(vi) One-one onto

1 Answer

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Best answer

(i) f : N → N, f(x) = 2x

(ii) f : R0 → R+, f(x) = x2

(iii) f : z0 → N, f(x) = |x|

(iv) f : Z → Z, f(x) = 2x

(v) f : R → R1, f(x) = x2

(vi) f : Z → f(z) = -x

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