Problem 12: Given the diagram below, please answer the following questions.
12a. Is the function continuous at x = -3?
12b. Is the function continuous at x = -2?
12c. Is the function continuous at x = 2?
the function is discontinous at x=-3
the function is continuous at x=-2
the function has a removable discontinuity at x=2, and is thus discontinuous there
To be continuous....we have to be able to "trace" the function without picking up our pencil
12a not continuous at x = -3
12b continuous ta x = -2
12c not continuous at x = 2