Identifying Functions from Mapping Diagrams and Tables

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you identify a function from a mapping diagram?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What does it mean if a mapping diagram has an input connected to multiple outputs?

Back

It means that the relation is not a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has a single output, while a relation can have multiple outputs for a single input.

Front

How can you determine if a table of values represents a function?

Back

A table represents a function if no two rows have the same input value with different output values.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x, where each input x has 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 is the domain of a function?

Back

The domain of a function is the set of all possible input values.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values.