The graph of a function is described on the closed interval
MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
The graph of a function p is described on the closed interval [−1,4].
• The graph is a straight line from (−1,0) to (0,2), including both endpoints, but the point at (0,2) is an open circle.
• A solid point at (0,1) connects to a smooth curve that continues without breaks for 0<x≤4 and ends at (4,3).
On which of the following intervals is p continuous?
(a) (−1,4]
(b) [−1,4]
(c) [−1,0)∪(0,4]
(d) (−1,0)∪(0,4]