Discrete vs Continuous Functions

Front

What is a discrete function?

Back

A discrete function is a function that consists of distinct, separate values. It is often represented by individual 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. Its graph is unbroken and can be drawn without lifting the pencil.

Front

When graphing a discrete function, how should the points be connected?

Back

Do not connect the dots.

Front

When graphing a continuous function, how should the points be connected?

Back

Connect the dots.

Front

Give an example of a discrete function in real life.

Back

The number of students in a classroom is a discrete function, as you cannot have a fraction of a student.

Front

Give an example of a continuous function in real life.

Back

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

Front

What type of domain does the function y=0.99x represent when x is the number of songs purchased?

Back

Discrete domain.

Front

What type of graph represents a discrete function?

Back

A graph of a discrete function consists of individual points that are not connected.

Front

What type of graph represents a continuous function?

Back

A graph of a continuous function is a smooth line or curve without breaks.

Front

Can a function be both discrete and continuous?

Back

No, a function is either discrete or continuous, but not both.