Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-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 for a set of ordered pairs to be a function?

Back

For a set of ordered pairs to be a function, each first element (x-value) must be unique and cannot repeat with different second elements (y-values).

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 is unique.

Front

What is an example of a function?

Back

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

Front

What is an example of a relation that is not a function?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

What does it mean if a graph is a function?

Back

If a graph is a function, it means that for every x-value, there is exactly one corresponding y-value.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each y-value is paired with exactly one x-value, meaning no two different x-values map to the same y-value.