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

What does it mean for a relation to be 'not a function'?

Back

A relation is 'not a function' if at least one input (x-value) is associated with multiple outputs (y-values).

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any x-value appears more than once with different y-values. If it does, it's not a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph 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 input is paired with an output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

The set of ordered pairs (1,2), (2,3), (3,4) is a function because each input has a unique output.

Front

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

Back

The set of ordered pairs (1,2), (1,3), (2,4) is not a function because the input '1' has two different outputs.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once.

Front

What is the definition of an input in a function?

Back

An input is the value that is put into a function, typically represented as 'x'.