Function vs Nonfunction

Front

What is a function?

Back

A function is a relation where every input (x) has exactly one output (y).

Front

What is a non-function?

Back

A non-function is a relation where at least one input (x) has more than one output (y).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the definition of input in a function?

Back

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

Front

What is the definition of output in a function?

Back

An output is the value that comes out of a function after an input is processed, typically represented as 'y'.

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 still correspond to only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each input x gives a unique output.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

What does it mean for a function to be one-to-one?

Back

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

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.