Suppose f(x) is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 1. b. Is f continuous from the left or right at 1? c. State the interval(s) of continuity. f(x)= 2x +4x if x>1 if x ≤ 1 a. Why is f not continuous at 1? A. lim f(x) does not exist. x-1 B. Although lim f(x) exists, it does not equal f(1). x-1 C. f(1) is not defined. b. Choose the correct answer below. A. f is not continuous from the left or the right at 1. B. f is continuous from the left at 1. C. f is continuous from the right at 1. c. What are the interval(s) of continuity? (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)