Is it a function?

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 the vertical line test?

Back

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

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 corresponding y-value.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1,2), (1,3)} because the x-value 1 has two different y-values.

Front

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

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you tell if a set of ordered pairs is a function?

Back

You can tell if a set of ordered pairs is a function by checking if each x-value appears only once.