Domain and Range Interval Notation

Front

What is Interval Notation?

Back

A mathematical notation used to represent a range of values, indicating the lower and upper bounds of the interval.

Front

How is a closed interval represented in Interval Notation?

Back

A closed interval is represented with square brackets, e.g., [a, b] includes both endpoints a and b.

Front

How is an open interval represented in Interval Notation?

Back

An open interval is represented with parentheses, e.g., (a, b) excludes both endpoints a and b.

Front

What does the notation (a, b] signify?

Back

It signifies an interval that includes b but excludes a.

Front

What does the notation [-∞, b) represent?

Back

It represents all values less than b, including negative infinity up to but not including 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

How do you express x < 5 in Interval Notation?

Back

(-∞, 5) represents all values less than 5.

Front

How do you express -3 ≤ x < 2 in Interval Notation?

Back

[-3, 2) includes -3 and all values up to but not including 2.

Front

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

Back

The domain is [1, ∞) since the expression under the square root must be non-negative.