Question

1) If a = 2 and b = 3, is f continuous at x = 1? Justify your answer
2) Find a relationship between a and b for which f is continuous at x = 1
3) Find a relationship between a and b so that f is continuous at x = 2
4)Use your equations from parts (ii) and (iii) to find the values of a and b so that f is continuous at both x = 1 and also at x = 2