2.01 Multiple Representations of Relations

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

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values (outputs) in a relation.

Front

How do you represent a relation using a table?

Back

A relation can be represented in a table format where each row corresponds to an ordered pair (x, y).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where the first number is the x-value and the second number is the y-value.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each x-value is associated with exactly one y-value.

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same x-value with different y-values.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are x-values in a relation?

Back

X-values are the first elements of the ordered pairs in a relation, representing the input.

Front

What are y-values in a relation?

Back

Y-values are the second elements of the ordered pairs in a relation, representing the output.