x + 3, if x # 3 12. 8 ( x) = 12 + VK, if x = 3 Find k, if g(x) is continuous. 13. The signum function is defined as follows: -1, if x 0 a. Sketch the graph of the signum function. b. Find each limit, if it exists. i. lim f(x) ii. lim f(x) iii. lim f(x) x -+ 0 x-+0+ x-+0 c. Is f(x) continuous? Explain. 14. Examine the graph of f (x). y = f ( x ) a. Find f(3). 2- b. Evaluate lim f(x). *- 3 2 4 6 8 c. Is f(x) continuous on the interval -2- -3