Functions, Functions, Functions

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

What does it mean for a relation to be a function?

Back

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

Front

What is the vertical line test?

Back

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

Front

Can a function have repeated y-values?

Back

Yes, a function can have repeated y-values as long as each x-value is unique.

Front

What is an example of a function?

Back

An example of a function is the mapping (1,2), (2,3), (3,4). Each x-value is unique.

Front

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

Back

An example of a relation that is not a function is the mapping (1,2), (1,3). The x-value 1 is associated with two different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the difference between a function and a non-function?

Back

A function has unique outputs for each input, while a non-function has at least one input that corresponds to multiple outputs.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no x-value is repeated.

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, meaning no two different inputs have the same output.