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) = { x^2 + 3x if x > 1, 2x if x ≤ 1
a. Why is f not continuous at 1?
A. f(1) is not defined.
B. Although lim x→1 f(x) exists, it does not equal f(1).
C. lim x→1 f(x) does not exist.
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)