Function or Non 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 must be true for a relation to be considered a function?

Back

Each x value must have only one y value.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Can a function have repeated x values?

Back

Yes, a function can have repeated x values as long as they map to the same y value.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x value, there is one corresponding y value.

Front

What is a non-function?

Back

A non-function is a relation where at least one x value has more than one corresponding y value.

Front

What is a mapping in relation to functions?

Back

A mapping shows how each input (x value) is paired with an output (y value).

Front

What does it mean if a function is one-to-one?

Back

A one-to-one function means that each x value maps to a unique y value and each y value maps to a unique x value.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is a non-function because the input 1 has two different outputs.