Points Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. f(x) = 1x-3; a =2 Select all that apply. A. The function is continuous at a = 2. B. The function is not continuous at a = 2 because f(2) is undefined. C. The function is not continuous at a = 2 because lim f(x) does not exist. x->2 D. The function is not continuous at a = 2 because lim f(x) #f(2). X-+2Part 1 of 3 5x + 3x if x 5 a. Determine the value of a for which g is continuous from the left at 5. b. Determine the value of a for which g is continuous from the right at 5. c. Is there a value of a for which g is continuous at 5?Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 2. b. Is f continuous from the left or right at 2? c. State the interval(s) of continuity. X 2 + 4x if x > 2 f(x) = 4x if x s 2Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. 3x - 2 y = a - 2 2 -5X +6 Select all that apply. A. The function is continuous at a = 2. B. The function is not continuous at a = 2 because f(2) is undefined. C. The function is not continuous at a = 2 because lim f(x) does not exist. X- 2 D. The function is not continuous at a = 2 because lim f(x) #f(2). X-+ 2