Is It a Function Tables

Front

What is a function?

Back

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

Front

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

Back

A relation is a function if no x-value is repeated with different y-values.

Front

Identify a function from the following pairs: (1,2), (1,3), (2,4), (3,5)

Back

This is NOT a function because the x-value '1' is repeated with different y-values.

Front

Identify a function from the following pairs: (1,2), (2,3), (3,4), (4,5)

Back

This IS a function because each x-value is unique.

Front

What is a mapping in the context of functions?

Back

A mapping shows how each input is paired with an output.

Front

What does it mean if a table does not represent a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

Which of the following represents a function: {(1,2), (2,3), (3,4), (4,5)} or {(1,2), (1,3), (1,4)}?

Back

{(1,2), (2,3), (3,4), (4,5)} is a function.

Front

What is the vertical line test?

Back

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

Front

What does 'not a function' mean in terms of x-values?

Back

It means that at least one x-value is repeated with different y-values.

Front

Example of a function: (2,3), (3,4), (4,5). Is this a function?

Back

Yes, because each x-value is unique.