Basic Mathematics - Old Questions

1. (i) If a function f(x) is defined by 

Evaluate f(-3), f(-1), and f(0) and sketch the graph. [1+1+1+2]
(ii) Define different types of discontinuity at a point. At what points  the function becomes  continuous of the function  f(x) = (x-2)/(x²-7x+10)? [3+2]