Function or Not a Function

Front

What is a relation where every input matches with exactly one output?

Back

Function

Front

What is the test to determine if a graph represents a function?

Back

Vertical line test

Front

What does it mean if a graph passes the vertical line test?

Back

It means that for every x-value, there is exactly one y-value.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function.

Front

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

Back

The set of ordered pairs {(1, 2), (1, 3)} is not a function.

Front

What does it mean if a set of ordered pairs is a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

What is the vertical line test?

Back

A method to determine if a graph is a function by checking if a vertical line intersects the graph at more than one point.

Front

What is a graph that does not pass the vertical line test?

Back

A graph that has at least one vertical line intersecting it at more than one point.