Function or 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 the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function using the vertical line test?

Back

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

Front

What does it mean if an x-value has more than one y-value?

Back

It means the relation is not a function.

Front

Given the relation A = {(1, 2), (2, 3), (3, 4)}, is it a function?

Back

Yes, because each x-value has only one y-value.

Front

Given the relation B = {(1, 2), (1, 3)}, is it a function?

Back

No, because the x-value 1 has two different y-values.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one unique 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 x-value 1 has two outputs.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.