Is it a Function? Review for Flashcard

Front

What is a function?

Back

A relation in which each input is paired with exactly one output.

Front

Which graph represents a function?

Back

Graph B.

Front

How can you tell if a table represents a function?

Back

If each input (x-value) is paired with exactly one output (y-value), it is a function.

Front

What is the vertical line test?

Back

A method to determine if a graph is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Does this relation represent a function? (Example: {(1,2), (1,3)})

Back

No, because the input 1 is paired with two different outputs.

Front

What is a non-function?

Back

A relation where at least one input is paired with more than one output.

Front

What does it mean if a relation is linear?

Back

It means the relation can be represented by a straight line on a graph.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function? (Example: {(2,3), (3,4), (4,5)})

Back

Yes, this is a function because each input has exactly one output.

Front

What is an example of a non-function? (Example: {(1,2), (1,3)})

Back

This is a non-function because the input 1 has two different outputs.