Domain and Range Interval Notation

Front

What is the definition of Domain in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What does Interval Notation represent?

Back

A way to describe a range of values using brackets and parentheses.

Front

What does a square bracket [ ] indicate in interval notation?

Back

It indicates that the endpoint is included in the interval.

Front

What does a parenthesis ( ) indicate in interval notation?

Back

It indicates that the endpoint is not included in the interval.

Front

Express the domain of the function f(x) = √(x-1) in interval notation.

Back

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

Front

Express the range of the function f(x) = x^2 in interval notation.

Back

[0, ∞) because the output is always non-negative.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

(-∞, 2) ∪ (2, ∞) because x cannot equal 2.

Front

What is the range of the function f(x) = 3x + 2?

Back

(-∞, ∞) because it can take any real number value.

Front

How do you express the interval for x such that -3 < x ≤ 5 in interval notation?

Back

(-3, 5].