Question
Suppose that the piecewise function f is defined by
f(x) = {
4 - 2x, x <= -1
3x^2 + 7x + 1, x > -1
Determine which of the following statements are true.
Select the correct answer below:
f(x) is not continuous at x = -1 because it is not defined at x = -1.
f(-1) exists, but f(x) is not continuous at x = -1 because lim x->-1 f(x) does not exist.
f(-1) and lim x->-1 f(x) both exist, but f(x) is not continuous at x = -1 because lim x->-1 f(x) != f(-1).
f(x) is continuous at x = -1.