08/23 Interval Notation & Domain/Range

Front

What is interval notation?

Back

A way to represent a range of numbers using brackets and parentheses. Brackets [ ] indicate inclusive endpoints, while parentheses ( ) indicate exclusive endpoints.

Front

What does the notation [-2, 5] represent?

Back

The interval includes all numbers from -2 to 5, including -2 and 5.

Front

How do you denote an open interval?

Back

An open interval is denoted using parentheses, e.g., (a, b) means all numbers between a and b, excluding a and b.

Front

How do you denote a closed interval?

Back

A closed interval is denoted using brackets, e.g., [a, b] means all numbers between a and b, including a and b.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

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

Back

It represents all real numbers, indicating that there are no restrictions on the domain or range.

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, while an open interval does not.

Front

How would you express the range -3 ≤ y < 2 in interval notation?

Back

[-3, 2) - includes -3 but not 2.

Front

What is the range of the function if the graph counts by 2's and goes from 3 to 8?

Back

The range is [3, 8] - includes both endpoints.