Question

Why do piecewise defined functions have open circles?

A. To represent discontinuity
B. To indicate a critical point
C. To signify a point of inclusion
D. To highlight a point of intersection

Answer 1

Piecewise defined functions have open circles to represent discontinuity.

Step-by-step explanation:

Piecewise defined functions have open circles to represent discontinuity. An open circle is used to indicate that the function is not defined or continuous at a specific point. This means that the function has a break or gap in its graph at that point.

The open circle serves as a visual way to show this discontinuity.