Function/Not a Function

Front

What is a function?

Back

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

Front

What is not a function?

Back

A relation is not a function if at least one input (x value) has more than one output (y value).

Front

In the ordered pair (x,y), which value is the x value?

Back

The x value is the first number in the ordered pair.

Front

In the ordered pair (3,8), what is the y value?

Back

The y value is 8.

Front

If a function has the ordered pairs (2,4) and (2,5), is it a function?

Back

No, it is not a function because the x value 2 has two different y values (4 and 5).

Front

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

Back

A one-to-one function means that each x value maps to a unique y value, and no two x values share the same y value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, 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, as long as each x value has only one y value.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where each x value has a unique y value.

Front

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

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the x value 1 has two different y values.