Functions and Relations

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also have inputs with multiple outputs.

Front

How can you determine if a mapping is a function?

Back

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

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only 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, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each x-value is paired with a unique y-value, and each y-value corresponds to a unique x-value.