Let c be a number and consider the function cx5 f(x) = 4 1 X Ho C for x < 1 for x = 1 for x 1 Find a number c such that f is continuous everywhere. Determine the following statements are True or False. Let f, g be two functions defined on R. Let a E R. A) If f and f+g are continuous at a, then g is continuous at a. [Select] B) If 2 is continuous at a, then f is continuous at a. [Select]