Which statement correctly defines a discrete graph?

Which statement correctly defines a discrete graph?

• A. It is made up of unconnected points
• B. It shows only integer values
• C. It is a smooth continuous curve
• D. It has no plotted points

Answer: (A)

Discrete graphs consist of separate data points with gaps—there is no line connecting them. That unconnected-point structure is the hallmark of a discrete graph, reflecting data that exists only at specific values of x. A smooth continuous curve, by contrast, shows a continuous relationship where x can vary without breaks. A graph with no plotted points isn’t showing data at all, so it can’t be discrete. While discrete graphs often come from data at specific x-values (often integers), the key idea is the unconnected points rather than the exact values.

Discrete graphs consist of separate data points with gaps—there is no line connecting them. That unconnected-point structure is the hallmark of a discrete graph, reflecting data that exists only at specific values of x. A smooth continuous curve, by contrast, shows a continuous relationship where x can vary without breaks. A graph with no plotted points isn’t showing data at all, so it can’t be discrete. While discrete graphs often come from data at specific x-values (often integers), the key idea is the unconnected points rather than the exact values.