Identifying 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 {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

Is the relation {(1, 2), (1, 3), (2, 4)} a function?

Back

No, it is not a function because the input 1 has two different outputs (2 and 3).

Front

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

Back

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

Front

The following is not a function because...

Back

There are two values that equal 2.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values, and outputs are the corresponding y-values.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The set of all possible output values (y-values) for a function.

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.