Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no two different pairs have the same first element.

Front

What is the vertical line test?

Back

The vertical line test is 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

Which of the following is a function: (1,2), (2,3), (1,4)?

Back

Not a function, because the input '1' is associated with two different outputs (2 and 4).

Front

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

Back

A graph represents a function if every x-value has exactly one corresponding y-value.

Front

Identify if the following is a function: {(1, 2), (2, 3), (3, 4)}

Back

This is a function because each input has a unique output.

Front

Identify if the following is a function: {(1, 2), (1, 3), (2, 4)}

Back

Not a function because the input '1' has two different outputs (2 and 3).

Front

What is an example of a function in real life?

Back

A vending machine is a function; each button (input) corresponds to one specific item (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 the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.