i request to help me overcome these mathematics problems

aj A polynomial function is given as f(x) = (x + 1)(x -1)?(x - 2)3. ij Find the x and y intercepts of the graph of f(x). iij Sketch the graph of f(x) clearly, showing the behavior of the graph around the r-intercepts. (1 + 3 marks) 8 bj Sketch the graph of y = Clearly identify all intercepts and (x + 3)(x - 2) asymptotes. (3 marks) c) Sketch the graph of y = 2cos(x - ) for Or $ 2n. (3 marks) dj Write f(x) = 2sin(x) + cos(x) in the form of f(x) = r sin(a + 0). (3 marks) e) A sequence {an} is defined by an = 2n - 1 Prove that the sequence is increase n + 1 ing by showing anti - a, > 0 for ne N. (3 Marks) f) Solve 2" = 8. Hint : V= = Vr cos B+ 2ak 0 + 2ak + isin 12