Functions FLASHCARD

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 graph to represent a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line crosses the graph more than once, it is not a function.

Front

What is an input in a function?

Back

An input is a value that is fed into a function to produce an output.

Front

What is an output in a function?

Back

An output is the result produced by a function after an input is applied.

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 mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.

Front

What does it mean if an input has two outputs?

Back

If an input has two outputs, it means the relation is not a function, as each input must correspond to exactly one output.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is related to exactly one input, meaning no two different inputs produce the same output.

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.