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

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 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 relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)} because the x-value 1 has two different y-values.

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each x-value is paired with a y-value.

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

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 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 only one x-value.