x+1, x

Given the above function nx) defined on the set of real numbers, determine whether it is 1-1 and whether it is onto for each of the following values of b. (Just circle your answers; no need to prove.) Case b = 2 Case b = 1 Case b = O Isf(x) 1-1? Yes/No Yes/No Yes/No Is nx) onto? Yes 'No Yes 'No Yes/ No (6 marks) (b) Prove that the following function g(x) defined on the set of real numbers is a bij ection. g(x) = { (c) Use mathematical induction to prove that 3 + 6 + 12 + positive integers n. + 3-2 1 (12 marks) (10 marks)