Interval Notation

Front

What is interval notation?

Back

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

Front

What does the interval notation (a, b) represent?

Back

The interval notation (a, b) represents all real numbers x such that a < x < b. Both endpoints a and b are excluded.

Front

What does the interval notation [a, b] represent?

Back

The interval notation [a, b] represents all real numbers x such that a ≤ x ≤ b. Both endpoints a and b are included.

Front

What does the interval notation (a, b] represent?

Back

The interval notation (a, b] represents all real numbers x such that a < x ≤ b. The endpoint a is excluded, while b is included.

Front

What does the interval notation [a, b) represent?

Back

The interval notation [a, b) represents all real numbers x such that a ≤ x < b. The endpoint a is included, while b is excluded.

Front

How is the interval notation for all real numbers expressed?

Back

The interval notation for all real numbers is expressed as (-∞, ∞).

Front

How do you express the solution to x < 8 in interval notation?

Back

The solution to x < 8 is expressed in interval notation as (-∞, 8).

Front

How do you express the solution to -8 ≤ x < 8 in interval notation?

Back

The solution to -8 ≤ x < 8 is expressed in interval notation as [-8, 8).

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 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.