Function or Relation?

Front

What is a function?

Back

A function is a special relationship where every input has only ONE output.

Front

What is a relation?

Back

A relation is a set of ordered pairs, where inputs can have multiple outputs.

Front

Can a function have the same output for different inputs?

Back

No, a function cannot have the same output for different inputs.

Front

What does the graph of a function look like?

Back

The graph of a function passes the vertical line test; no vertical line intersects the graph more than once.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Is (2, 3) and (2, 4) a function?

Back

No, because the input 2 has two different outputs (3 and 4).

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each input x has a unique output.

Front

What is an example of a relation?

Back

An example of a relation is {(1, 2), (1, 3), (2, 4)}, where the input 1 has two outputs.

Front

What is an input in a function?

Back

An input is the value you put into a function to get an output.

Front

What is an output in a function?

Back

An output is the result you get after applying the function to an input.