Determine if the statements below true or false. Justify your answer (provide a reason, no need for a formal proof!) a) Define f: Z→ Z by f(n) = 10n , V n e Z. This function f is 1-1. b) Define g:...

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Extracted text: Determine if the statements below true or false. Justify your answer (provide a reason, no need for a formal proof!) a) Define f: Z→ Z by f(n) = 10n , V n e Z. This function f is 1-1. b) Define g: (-0, ∞) → [-1,1] by f(x) = sin x , Vx € R. This function is onto. c) Define h:Z → Z by h(n) = nº for all n. This function is a bijection. Justify your answer here!