When you're looking at discrete and continuous graphs on a graph, there are some important differences to understand.

Discrete Graphs:

• Points: These are made up of individual, separate points.
• Examples: You might see these when counting things, like people or items. For each number you put in, there’s a specific answer.
• Visual: Picture it like dots on a graph that aren’t connected. For example, if $x$ can only be 1, 2, or 3, you only plot those points.

Continuous Graphs:

• Lines or Curves: These are shown as a smooth line or curve that doesn’t have any gaps.
• Examples: You see this with things like distance over time, where inputs can be any number.
• Visual: Think of it as a smooth line where you can choose any point along it. For example, the graph of $y = x^2$ is like that.

Understanding the differences between these two types of graphs can help us tell different stories in math!