Please help me with question 11 The definition of a function really relies on properties of the first coordinates of f : A → B. Thereare also properties of functions that rely on the second coordinates.Recall, it is always the case that Rng(f) C B. A function always maps to its codomain.Definition 5. A function f : A → B is a surjection (or is onto B) if and only if for every b E Bthere exists an a E A such that f(a) = b.So a function f : A → B is mapping onto its codomain when Rng(f) = B.Question 10. Re-write the definition of surjective using quantifier symbols (the V and 3 symbols).You are likely familiar with the words one-to-one from Calculus when discussing invertiblefunctions. Here we give a formal definition.Definition 6. A function f : A → B is an injection (or is one-to-one) if and only if wheneverx + y then f(x) # f(y).When trying to show a function is one-to-one, we typically prove the contrapositive: if f(x) =f(y), then x = y.Question 11. Re-write the definition of injective using quantifier symbols.

Name: Please help me with question 11 The definition of a function really re
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Description: Please help me with question 11 The definition of a function really relies on properties of the first coordinates of f : A → B. Thereare also properties of functions that rely on the second coordinates.Recall, it is always the case that Rng(f) C B. A