Discuss the continuity of the function g graphed in the following figure and defined as follows: 6 sin 0 for 0 # 0 8 (0) = 3 for 0 = 0 6 9(0) 3 - 2 TT IT O The function g is not continuous since g (0) = 3. O The function g is not continuous since g (0) = 6. O The function g is continuous since g (0) = 3. O The function g is continuous since all points are defined. O The function g is not continuous since the point when 0 = 0 is undefined