Flashcard - Finding Domain and Range in Interval Notation

Front

What is the domain of a function?

Back

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

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval that includes both endpoints a and b.

Front

What does the notation (a, b) represent?

Back

The notation (a, b) represents an open interval that excludes both endpoints a and b.

Front

How do you express x ≥ 100 in interval notation?

Back

In interval notation, x ≥ 100 is expressed as [100, ∞).

Front

What is the range of 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 does the notation (-∞, b) represent?

Back

The notation (-∞, b) represents an interval that includes all values less than b, excluding b.

Front

How do you express the range [-4, 4] in words?

Back

The range [-4, 4] includes all values from -4 to 4, including both -4 and 4.

Front

What is the difference between closed and open intervals?

Back

Closed intervals include their endpoints, while open intervals do not include their endpoints.

Front

How do you express the domain of a function that is defined for all x greater than or equal to -2?

Back

The domain is expressed in interval notation as [-2, ∞).