Identify Functions

Front

What is a function?

Back

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

Front

How can you determine if a relation is 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, it is not a function.

Front

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

Back

It means that at least one x-value is associated with multiple y-values.

Front

Give an example of a function.

Back

An example of a function is the relation {(1, 2), (2, 3), (3, 4)}.

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}.

Front

What is a domain in a function?

Back

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

Front

What is a range in 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 output is paired with exactly one input.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.