Identifying Functions from Mapping Diagrams and Tables

Front

What is a function in mathematics?

Back

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

Front

Does the mapping diagram represent a function if an input has multiple outputs?

Back

No, it does not represent a function.

Front

What is the vertical line test?

Back

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 the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

If a mapping diagram shows an input of 2 mapping to outputs 3 and 4, does it represent a function?

Back

No, it does not represent a function.

Front

What is an example of a function?

Back

f(x) = x^2 is a function because each input x has one output.

Front

What is a non-function example?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

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

Back

A function is one-to-one if different inputs map to different outputs.