Relation-Function and Interval notation

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x-value) and an output (y-value).

Front

Define the domain of a relation.

Back

The domain of a relation is the set of all possible input values (x-values) that can be used in the relation.

Front

Define the range of a relation.

Back

The range of a relation is the set of all possible output values (y-values) that result from the inputs in the domain.

Front

How do you identify the domain from a set of ordered pairs?

Back

To identify the domain, list all the unique x-values from the ordered pairs.

Front

How do you identify the range from a set of ordered pairs?

Back

To identify the range, list all the unique y-values from the ordered pairs.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, which can be open, closed, or half-open.

Front

What does the interval notation [-4, -1) represent?

Back

The interval [-4, -1) includes all numbers from -4 to -1, including -4 but not including -1.

Front

What does the interval notation (a, b) represent?

Back

The interval (a, b) includes all numbers between a and b, but does not include a and b themselves.

Front

What does the interval notation [a, b] represent?

Back

The interval [a, b] includes all numbers between a and b, including both a and b.

Front

What does the interval notation (a, b] represent?

Back

The interval (a, b] includes all numbers between a and b, excluding a but including b.