Discrete vs. Continuous Graphs

Front

What is a discrete graph?

Back

A discrete graph consists of distinct, separate points that represent individual data values. It is used to depict data that can only take specific values, often seen in scenarios like counting.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is a continuous graph?

Back

A continuous graph represents data that can take any value within a given range. It is characterized by a smooth line or curve, indicating that the data can change fluidly.

Tags

CCSS.8.EE.B.5

Front

Give an example of a situation that would be represented by a discrete graph.

Back

An example of a discrete graph is the number of students in a classroom, as you can only have whole numbers of students.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

Give an example of a situation that would be represented by a continuous graph.

Back

An example of a continuous graph is the height of a plant over time, as height can vary continuously.

Tags

CCSS.8.EE.B.5

Front

What is the primary difference between discrete and continuous data?

Back

The primary difference is that discrete data consists of distinct values, while continuous data can take any value within a range.

Front

How can you visually distinguish between discrete and continuous graphs?

Back

Discrete graphs are represented by individual points, while continuous graphs are represented by lines or curves.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What type of data is often represented by a continuous graph?

Back

Continuous graphs often represent measurements such as time, temperature, or distance.

Tags

CCSS.8.EE.B.5

Front

What type of data is often represented by a discrete graph?

Back

Discrete graphs often represent counts, such as the number of cars in a parking lot or the number of votes in an election.

Front

Can a graph be both discrete and continuous?

Back

No, a graph is either discrete or continuous based on the nature of the data it represents.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is an example of a function that is continuous?

Back

An example of a continuous function is f(x) = x^2, which produces a smooth curve.