Is it a Function or Not?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a graph represents a function?

Back

Use the Vertical Line Test: If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the Vertical Line Test?

Back

A method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What does it mean for a set of ordered pairs to be a function?

Back

Each input (first element) must be associated with exactly one output (second element).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each input has a unique output.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input '1' is associated with two different outputs.

Front

What does 'Yuh' mean in the context of functions?

Back

'Yuh' indicates that the relation or graph being analyzed is a function.

Front

What does 'Nah' mean in the context of functions?

Back

'Nah' indicates that the relation or graph being analyzed is not a function.