Domain and Range from a Graph Inequality Notation

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) of a function.

Front

How do you find the range from a graph?

Back

By reading the ends of the graph from bottom to top.

Front

What notation is used to represent the domain?

Back

Interval notation, such as (-∞, ∞) or [-3, 3].

Front

What notation is used to represent the range?

Back

Interval notation, such as [-4, 5) or (-3, 3].

Front

What does the interval (-∞, ∞) represent?

Back

It represents all real numbers for the domain.

Front

What does the interval [-4, 5) represent?

Back

It represents all real numbers from -4 to 5, including -4 but not including 5.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include endpoints (e.g., (a, b)), while closed intervals do (e.g., [a, b]).

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is an inequality notation?

Back

A way to express the domain or range using inequalities, such as y > 2 or x ≤ 5.