Is it a function?

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

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 is associated with more than one 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 equation y = 2x + 3 is a function because for every x, there is exactly one y.

Front

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

Back

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

Front

How can you tell if a mapping is a function?

Back

Check if each input is paired with only one output.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Front

What is a function table?

Back

A function table lists pairs of inputs and their corresponding outputs.