Domain and Range

Front

What is the definition of 'domain' in a relation?

Back

The set of all possible inputs (or x-values) for a function or relation.

Front

What is the definition of 'range' in a relation?

Back

The set of all possible outputs (or y-values) for a function or relation.

Front

What variable typically represents the domain?

Back

x

Front

What variable typically represents the range?

Back

y

Front

How is the domain represented in interval notation?

Back

It is represented as a range of values, e.g., [a, b] or (a, b).

Front

What does the notation [a, b] signify?

Back

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

Front

What does the notation (a, b) signify?

Back

It signifies that both endpoints a and b are excluded from the interval.

Front

If a function has a domain of [1, 5], what does this mean?

Back

The function accepts all input values from 1 to 5, including 1 and 5.

Front

If a function has a range of {2, 4, 6}, what does this mean?

Back

The function outputs only the values 2, 4, and 6.

Front

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

Back

The range is [0, 9].