Discrete vs Continuous Functions

Front

What is a discrete function?

Back

A discrete function is a function that consists of distinct, separate values. The x-values can only be whole numbers.

Front

What is a continuous function?

Back

A continuous function is a function that can take any value within a given range. The x-values can be all real numbers.

Front

Is the graph of a discrete function made up of points or a line?

Back

The graph of a discrete function is made up of individual points.

Front

Is the graph of a continuous function made up of points or a line?

Back

The graph of a continuous function is made up of a line or curve without breaks.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for that function.

Front

Can the domain of a discrete function include fractions?

Back

No, the domain of a discrete function can only include whole numbers.

Front

Can the domain of a continuous function include fractions?

Back

Yes, the domain of a continuous function can include all real numbers, including fractions.

Front

Give an example of a discrete function in real life.

Back

An example of a discrete function is the number of students in a classroom.

Front

Give an example of a continuous function in real life.

Back

An example of a continuous function is the distance traveled over time.

Front

What type of graph represents a discrete function?

Back

A scatter plot is often used to represent a discrete function.