Question

which statement correctly describes the graph?
a. the graph is continuous because the data is represented by distinct, separate points.
b. the graph is discrete because the data is represented by distinct, separate points.
c. the graph is discrete because there are no gaps in the data.
d. the graph is continuous because there are no gaps in the data.

Explanation:

Step1: Understand continuous and discrete graphs

A continuous graph is a graph of a function that has no breaks, holes, or gaps. It is represented by a connected line or curve. A discrete graph is made up of distinct, separate points.

Step2: Analyze the given graph

The graph in the picture is represented by a connected curve (not distinct, separate points). So it is not discrete (eliminates options B and C). A continuous graph has no gaps.

Answer:

D. The graph is continuous because there are no gaps in the data.