i request to help with my mathematics problems

a) A polynomial function is given as f(x) = (3 + 1)(x - 1)'(x -2)3 i) 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 z-intercepts. (1 + 3 marks) 8 b] Sketch the graph of y = (r + 3) (x - 2) Clearly identify all intercepts and asymptotes. (3 marks) c] Sketch the graph of y = 2cos(x - -) for 0 S I S 2m. (3 marks) dj Write f(x) = 2sin(x) + cos(x) in the form of f(x) = r sin(r + 0) (3 marks) e) A sequence {am } is defined by an = 2n - 1 Prove that the sequence is increase n +1 ing by showing an+1 - a, > 0 for ne N. (3 Marks) [) Solve = = 8 Hint : V/= = VF cos ( + 2 + isin 0 + 2xk n n