A continuous graph is a graph of a function that is continuous, meaning that its graph is a single unbroken curve without any breaks or jumps. In other words, a continuous graph is a graph where there is a value of y for every single value of x, and each point is immediately next to the point on either side of it. A continuous function is one whose graph is continuous without any breaks or jumps. The concept of continuity is important in calculus, as a function cannot be differentiable unless it is continuous.

On the other hand, a discrete graph is one with scattered points that may or may not show a direction or trend. They don’t have data in between the points already given. Discrete data is not connected with a line, and they just stay as a scatter plot.

In summary, a continuous graph is a graph of a continuous function that is a single unbroken curve, while a discrete graph is a graph of a discrete function that consists of scattered points.