Function vs. Relation

Front

What is a function?

Back

A relation where every input (x-value) matches with exactly one output (y-value).

Front

What is a relation?

Back

A set of ordered pairs, where each input can be associated with one or more outputs.

Front

What does the vertical line test determine?

Back

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

Front

What does the horizontal line test determine?

Back

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

Front

Is the set of points (1,2), (2,3), (3,4) a function?

Back

Yes, because each input has exactly one output.

Front

Is the set of points (1,2), (1,3), (2,4) a function?

Back

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

Front

What is an example of a non-function?

Back

A relation like {(1,2), (1,3), (2,4)} where an input has multiple outputs.

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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