Domain and Range Interval Notation

Front

What is the definition of domain in mathematics?

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 definition of range in mathematics?

Back

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

Front

What does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line, using parentheses and brackets to indicate whether endpoints are included.

Front

What does a parenthesis '(' or ')' mean in interval notation?

Back

Parentheses indicate that the endpoint is not included in the interval.

Front

What does a bracket '[' or ']' mean in interval notation?

Back

Brackets indicate that the endpoint is included in the interval.

Front

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

Back

The domain is all real numbers except x = 0, which can be written in interval notation as (-∞, 0) ∪ (0, ∞).

Front

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

Back

The range is all non-negative real numbers, which can be written in interval notation as [0, ∞).

Front

How do you find the domain of a function given a graph?

Back

The domain can be found by identifying the x-values for which the graph exists.

Front

How do you find the range of a function given a graph?

Back

The range can be found by identifying the y-values that the graph reaches.

Front

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

Back

The domain is x ≥ 2, which can be written in interval notation as [2, ∞).