Question

2. Discuss the continuity of the following function (responses without reasons will receive no credit):

y = f(x) = x + 7 if x < 3

                9 if x = 3

                3x + 1 if 3 < x < 4

                13 if x = 4

                x + 9 if x > 4

Continuous for x<3 (y/n)? ____ Why or why not? ________________

Continuous at x=3 (y/n)? _______ Why or why not? ______________

Continuous for 3 < x < 4 (y/n)? ______ Why or why not? ___________

Continuous at x=4 (y/n)? _______ Why or why not? _______________

Continuous for x>4 (y/n)? ______ Why or why not? _______________

Be sure to indicate the left and right limits at each of the critical values when applicable.

Answer 1