5.1 Identifying Functions

Front

What are all of the x values in a function called?

Back

Inputs

Front

Which set of ordered pairs is a function? {(9,5), (10,5), (9,-5), (10,-5)}; {(3,4), (4,-3), (7,4), (3, 8)}; {(6,-5), (7, -3), (8, -1), (9, 1)}; {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

{(6,-5), (7, -3), (8, -1), (9, 1)}

Front

Which of the following is NOT a function? Provide an example.

Back

Example: {(1,2), (1,3)} is NOT a function because the input 1 has two different outputs.

Front

What is the definition of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) of a function.

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

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

Back

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

Front

What is an example of a function in real life?

Back

A vending machine: each button (input) gives one specific item (output).

Front

What is a mapping diagram?

Back

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