A piecewise graph is described as follows: • For

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

x < 0

f(x) = 2

. • At

x = 0

there is a filled dot at

(0,2)

. • For

0 < x < 3

, the graph is a straight line from

(0,5)

(3,1)

. • At

x = 3

there is an open circle at

(3,1)

and a filled dot at

(3,4)

. • For

x > 3

, the graph continues smoothly upward from

(3,4)

. List all

x

-values where

f

is discontinuous and classify each discontinuity.