Discrete vs. Continuous Graphs

Front

What is a discrete graph?

Back

A discrete graph consists of distinct, separate points. It represents data that can only take specific values, such as the number of students in a class.

Front

What is a continuous graph?

Back

A continuous graph shows data that can take any value within a given range. It is represented by a smooth line or curve, such as the height of a plant over time.

Front

Give an example of a discrete data set.

Back

The number of cars in a parking lot is a discrete data set because it can only be whole numbers (0, 1, 2, etc.).

Front

Give an example of a continuous data set.

Back

The temperature throughout the day is a continuous data set because it can take any value within a range, such as 20.5°C.

Front

What is the main difference between discrete and continuous graphs?

Back

The main difference is that discrete graphs consist of individual points, while continuous graphs represent a range of values with a connected line.

Front

How can you identify a discrete graph visually?

Back

A discrete graph is identified by individual points that are not connected, indicating that the data is not continuous.

Front

How can you identify a continuous graph visually?

Back

A continuous graph is identified by a smooth line or curve that connects all points, indicating that the data can take any value.

Front

What type of graph would you use to represent the number of pets owned by students?

Back

A discrete graph would be used because the number of pets can only be whole numbers.

Front

What type of graph would you use to represent the distance traveled by a car over time?

Back

A continuous graph would be used because distance can vary continuously as time progresses.

Front

What is a function in the context of graphs?

Back

A function is a relationship where each input (x-value) has exactly one output (y-value). Both discrete and continuous graphs can represent functions.