EXIT TICKET: Discrete and Continuous

Front

What is the definition of a range in 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 definition of a domain in a function?

Back

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

Front

How do you find the range of a set of ordered pairs?

Back

To find the range, list all the unique y-values from the ordered pairs.

Front

How do you find the domain of a set of ordered pairs?

Back

To find the domain, list all the unique x-values from the ordered pairs.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values, while continuous functions have an unbroken range of values.

Front

What is an example of a discrete function?

Back

An example of a discrete function is the number of students in a classroom, which can only take whole number values.

Front

What is an example of a continuous function?

Back

An example of a continuous function is the height of a plant over time, which can take any value within a range.

Front

What notation is used to represent the domain of a function?

Back

The domain is often represented using set notation, such as D = {x | x is a real number}.

Front

What notation is used to represent the range of a function?

Back

The range is often represented using set notation, such as R = {y | y is a real number}.

Front

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

Back

If the graph consists of isolated points, it is discrete; if the graph is a continuous line or curve, it is continuous.