Discrete vs. Continuous Graphs & Domain vs. Range

Front

What is the difference between discrete and continuous graphs?

Back

Discrete graphs consist of distinct, separate points, while continuous graphs are represented by connected lines or curves, indicating that the values can take on any number within a given range.

Front

What is a discrete variable?

Back

A discrete variable is a type of quantitative variable that can take on a countable number of distinct values, often represented by whole numbers.

Front

What is a continuous variable?

Back

A continuous variable is a type of quantitative variable that can take on an infinite number of values within a given range, often represented by real numbers.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from the function.

Front

Give an example of a continuous function in real life.

Back

The growth of a plant over time is an example of a continuous function, as it can take on any value within a range.

Front

Give an example of a discrete function in real life.

Back

The number of students in a classroom is an example of a discrete function, as it can only take on whole number values.

Front

How can you determine if a graph is discrete or continuous?

Back

You can determine if a graph is discrete or continuous by checking if the points are isolated (discrete) or connected (continuous).

Front

What does it mean for a function to be defined at a certain point?

Back

A function is defined at a certain point if there is a corresponding output value for that input value in the function.

Front

What is an example of a situation where the domain is limited?

Back

The domain of a function representing the height of a person is limited to non-negative values, as height cannot be negative.