A continuous graph is described as?

A continuous graph is described as?

• A. A graph with gaps between data
• B. A graph made up of connected lines or curves
• C. A graph with isolated points only
• D. A graph consisting of a single continuous curve

Answer: (B)

Continuity on a graph means you can trace the graph without lifting your pencil, so there are no breaks or gaps. The description that fits this idea best is a graph made up of connected lines or curves, because each piece touches the next, forming an uninterrupted path. If you had gaps between data, the path would be broken, which is not continuous. If the graph consisted only of isolated points, there wouldn’t be a connected path at all. A single continuous curve is continuous, but it’s just one possibility; a continuous graph can have several connected pieces joined together, which is captured by “made up of connected lines or curves.”

Continuity on a graph means you can trace the graph without lifting your pencil, so there are no breaks or gaps. The description that fits this idea best is a graph made up of connected lines or curves, because each piece touches the next, forming an uninterrupted path. If you had gaps between data, the path would be broken, which is not continuous. If the graph consisted only of isolated points, there wouldn’t be a connected path at all. A single continuous curve is continuous, but it’s just one possibility; a continuous graph can have several connected pieces joined together, which is captured by “made up of connected lines or curves.”