Domain and Range from Graph

Front

What is the domain of a graph?

Back

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

Front

What is the range of a graph?

Back

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

Front

How do you determine the domain from a graph?

Back

To determine the domain, identify the x-values that the graph covers on the horizontal axis.

Front

How do you determine the range from a graph?

Back

To determine the range, identify the y-values that the graph covers on the vertical axis.

Front

What does it mean if a graph is discrete?

Back

A discrete graph consists of distinct, separate points and does not connect to form a continuous line.

Front

What does it mean if a graph is continuous?

Back

A continuous graph has no breaks or gaps; it can be drawn without lifting the pencil from the paper.

Front

What is an example of a discrete range?

Back

An example of a discrete range is {1, 2, 3, 4, 5}.

Front

What is an example of a continuous range?

Back

An example of a continuous range is all values between 0 and 1, represented as (0, 1).

Front

What notation is used to represent a closed interval?

Back

Closed interval notation uses square brackets, e.g., [a, b] includes both endpoints a and b.

Front

What notation is used to represent an open interval?

Back

Open interval notation uses parentheses, e.g., (a, b) excludes both endpoints a and b.