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 determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

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, then the graph does not represent a function.

Front

Is the mapping (1,2), (2,3), (3,4) a function?

Back

Yes, because each input has a unique output.

Front

Is the mapping (1,2), (1,3), (2,4) a function?

Back

No, because the input '1' corresponds to two different outputs (2 and 3).

Front

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

Back

A graph is a function if every x-value has only one corresponding y-value.

Front

Identify if the following set is a function: {(2,3), (3,4), (2,5)}

Back

Not a function, because the input '2' has two outputs (3 and 5).

Front

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

Back

Function, because each input has a unique output.

Front

What is an example of a function in real life?

Back

A vending machine is a function; each button (input) gives one specific item (output).

Front

What is the definition of a domain in a function?

Back

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