Discrete vs Continuous Functions

Front

What is a discrete function?

Back

A discrete function is a function that has specific, separate values. It is often represented by distinct points on a graph.

Front

What is a continuous function?

Back

A continuous function is a function that can take any value within a given range. It is represented by a smooth line or curve on a graph.

Front

Give an example of a discrete function.

Back

The number of students in a classroom is a discrete function because it can only take whole number values.

Front

Give an example of a continuous function.

Back

The height of a plant over time is a continuous function because it can take any value within a range.

Front

What type of function is represented by the average speed of a car?

Back

Continuous, because speed can vary continuously over time.

Front

What type of function is represented by the number of goals scored in a soccer match?

Back

Discrete, because goals can only be whole numbers.

Front

How do you determine if a function is discrete or continuous?

Back

Check if the values are separate (discrete) or can take any value in a range (continuous).

Front

What does it mean to connect the dots on a graph?

Back

Connecting the dots indicates that the function is continuous, showing that all values between the points are included.

Front

Is the time it takes for a light bulb to burn out a discrete or continuous function?

Back

Continuous, because time can be measured in infinitely small increments.

Front

Is the number of suitcases lost by airlines a discrete or continuous function?

Back

Discrete, because it can only take whole number values.