Is it a Function?

Front

Is this a function? Explain.

Back

Yes; it passes the vertical line test.

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Is this table a function or not a function?

Back

Function

Front

Is this mapping a function or not a function?

Back

Function

Front

What does it mean to pass the vertical line test?

Back

If a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean to pass the horizontal line test?

Back

If a horizontal line intersects the graph at more than one point, it is not a one-to-one function.

Front

Can a function have the same output for different inputs?

Back

No, a function must have a unique output for each input.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x has one corresponding y.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

What is the domain of a function?

Back

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