MA1502 / GE1359 Take-home Assignment 1 Semester A, 2022-23 Due date: Wednesday, 28 September 2022 (Week 5) before 11:59 p.m. Answer all questions. Show all steps. Please submit the softcopy of your work (as a single pdf file) to Canvas on or before the due date. Questions 1. Suppose that U = [0,co) is the universal set. Let A = (2,7], B = [1, 5) be two intervals, D = (0, 1, 2, 3) and E = (1, 3, 5, 7, 9) be two sets. Find the following and write your answers in set/interval notations: (a) (A\\E)UB (b) BCn (AUD) (c) (A D) U(B\\ E) 2. Find the largest possible domain and largest possible range for each of the following real- valued functions. (a) F(x) = x - 2 1x) - 2 3 (b) G(x) =- V12 - 4x - x 3. Let f: IR - R and g: [0,co) - R be two functions defined by f(x) = x2 +1 and g(x) = vx +3 for 05x