Give one example of each of the following function:(i) One-one into(ii

1.	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
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

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

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