Identifying Functions from tables, mappings, and ordered pairs

Front

What is a function?

Back

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

Front

Does the relation (1,5), (1,6), (1,7), (1,8), (1,9) represent a function?

Back

No, because the input 1 is associated with multiple outputs.

Front

What is the difference between a function and a relation?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Front

Which of the following is a function: (9,5), (10,5), (9,-5), (10,-5) or (6,-5), (7,-3), (8,-1), (9,1)?

Back

(6,-5), (7,-3), (8,-1), (9,1) is a function because each input is unique.

Front

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

Back

It means that each input is paired with exactly one output.

Front

Identify the point that can be removed to make the mapping a function: (4, 5), (16, 22), (18, 37), (6, 16).

Back

(16, 22) can be removed to make it a function.

Front

What is an ordered pair?

Back

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

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 the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a mapping diagram?

Back

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