Domain and Range - Mixed Notation

Front

What is the definition of Domain in a relation?

Back

The set of all x-values in a relation.

Front

What is the definition of Range in a relation?

Back

The set of all y-values in a relation.

Front

How do you find the Domain of a graph?

Back

By reading the graph from left to right.

Front

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

Back

It represents that the range includes all real numbers.

Front

What does the notation [1, ∞) indicate about the range?

Back

It indicates that the range starts at 1 and includes all values greater than 1.

Front

If a graph has a range of y ≤ 6, what does this mean?

Back

It means that the y-values of the graph are all less than or equal to 6.

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 include endpoints (e.g., [a, b]).

Front

What is the Domain of the function f(x) = √(x-1)?

Back

The Domain is [1, ∞) because x must be greater than or equal to 1.

Front

What is the Range of the function f(x) = -x^2?

Back

The Range is (-∞, 0] because the function reaches a maximum of 0 and goes to negative infinity.

Front

How can you express the Domain of a function that is defined for all real numbers?

Back

The Domain can be expressed as (-∞, ∞).