Function or Not?

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (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

Does the relation (1,2), (1,3) represent a function?

Back

No, because the input 1 has two different outputs (2 and 3).

Front

Does the relation (2,4), (3,5), (2,6) represent a function?

Back

No, because the input 2 has two different outputs (4 and 6).

Front

What is an example of a function?

Back

An example of a function is the relation (1,2), (2,3), (3,4), where each input has a unique output.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation (1,2), (1,3), where the input 1 has two outputs.

Front

If a graph has a curve, can it still be a function?

Back

Yes, as long as it passes the vertical line test.

Front

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

Back

A one-to-one function means that each output is paired with exactly one input, and no two inputs share the same output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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