Relations and Functions

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 a function?

Back

A function is a special type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

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

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What is the 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, the graph is not a function.

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

Back

Check if any x-value appears more than once with different y-values. If it does, the relation is not a function.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the domain?

Back

The domain is {-1, -2, 2, 0}.

Front

Given the relation {(-1,2), (-2,4), (2,5), (0,-2), (2,0)}, what is the range?

Back

The range is {2, 4, 5, -2, 0}.