Domain and Range + Notation

Front

What is the definition of 'domain' in mathematics?

Back

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

Front

What is the definition of 'range' in mathematics?

Back

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

Front

What variable typically represents the domain?

Back

x

Front

What variable typically represents the range?

Back

y

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

How is the domain represented in interval notation?

Back

The domain can be represented as an interval, such as (0, 1) or [0, 1].

Front

How is the range represented in interval notation?

Back

The range can be represented as an interval, such as [1, ∞) or (-∞, 1].

Front

What does the notation [a, b] mean?

Back

It means that both endpoints a and b are included in the interval.

Front

What does the notation (a, b) mean?

Back

It means that both endpoints a and b are not included in the interval.

Front

What is the range of the function f(x) = x^2 for x in [0, 3]?

Back

The range is [0, 9].