Discrete vs. Continuous Graphs & Domain vs. Range

Front

What is the definition of a discrete function?

Back

A discrete function is a function that consists of distinct, separate values, often represented as individual points on a graph.

Front

What is the definition of a continuous function?

Back

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

Front

How do you determine the domain of a function?

Back

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

Front

How do you determine the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The domain is {-4, 0, 1, 2}.

Front

What is the range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

The range is {-4, -3, 1}.

Front

What type of graph represents the average speed of a car over time?

Back

A continuous graph, as speed can vary smoothly over time.

Front

What type of graph represents the number of soft drinks sold from a vending machine?

Back

A discrete graph, as the number of drinks sold can only be whole numbers.

Front

What is an example of a continuous variable in real life?

Back

An example of a continuous variable is the height of a plant over time.

Front

What is an example of a discrete variable in real life?

Back

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