Function or Not?

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Is this set of ordered pairs a function? (e.g., {(1,2), (1,3)})

Back

No it isn't a function because an x value repeats but has different y values.

Front

Does the graph represent a function? (Vertical Line Test)

Back

No, because the vertical line test shows there are repeating input values.

Front

What is a function?

Back

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

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

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values.

Front

What is an example of a function? (Ordered pairs)

Back

{(1,2), (2,3), (3,4)} - Each x-value is unique.

Front

What is an example of a non-function? (Ordered pairs)

Back

{(1,2), (1,3)} - The x-value 1 has two different y-values.

Front

What does it mean for a relation to be one-to-one?

Back

Each x-value is paired with a unique y-value and vice versa.