6. The lim 3x 2x X -4 a) 3 b) 2 C) - 3 d) Does Not Exist 7. The lim X -3 a) 3 b) 6 C) 0 d) Does Not Exist 8. For what values of x will the function. f(x) = x - 4 4 4x -20x-48 be discontinuous? a) - 6, - 2 b) - 2, 4 C) - 6, 4 d) - 6, - 2, 4 True or False: [7 Marks] 9. A piecewise function can be continuous everywhere but not differentiable everywhere. 10. If a function f(x) is continuous in an open interval, then f(x) has both a maximum value and a minimum value 11. If the limit exists at x = a, then the function is continuous at x = a 12. If the left-hand limit and the right-hand limit of a function exist at a point x = a, then the limit at x - a exists. 13. Instantaneous rate of change can be estimated by finding the difference quotient over a very small interval. 14. An infinite discontinuity means a function is merely a set of scattered points. 15. A piecewise function always has jump discontinuity