8.5G Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Is the relation a function? Why? (x-value 11 has two y-values)

Back

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

Front

Which set of ordered pairs represents y as a function of x? {(0, 0.5), (2, 1.5), (−5.5, 5), (−5.5, −6)}

Back

This set does not represent a function because the x-value -5.5 has two y-values.

Front

Which set of ordered pairs represents y as a function of x? {(5, −7), (3, −7), (−9.2, −7), (9.2, −7)}

Back

This set represents a function because each x-value has only one y-value.

Front

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

Back

(1, 9) can be added to create a function.

Front

Does this mapping diagram represent a function? (with repeating input values)

Back

No, because there are repeating input values.

Front

Does this mapping diagram represent a function? (without repeating input values)

Back

Yes, because there are no repeating input values.

Front

What is an input in a function?

Back

An input is a value that is fed into a function to produce an output.

Front

What is an output in a function?

Back

An output is the result produced by a function after processing an input.

Front

What is the domain of a function?

Back

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