Relations and Functions

Front

What is the definition of a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

Front

What is a mapping in the context of functions?

Back

A mapping is a representation of a function that shows how each input is paired with an output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input.

Front

What does it mean if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input is associated with more than one output.

Front

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

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value corresponds to only one output value.