Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it is a function.

Front

What is the vertical line test used for?

Back

The vertical line test is used to determine if a graph represents a function.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one, meaning each output is produced by only one input.

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that there are at least two different inputs that produce the same output, indicating it is not a function.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x-value has a unique y-value.

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 y^2 = x, where each x-value can correspond to two different y-values.

Front

How can you tell if a table of values represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing whether a relation is a function.

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.