Function or Not?

Front

What is the definition of a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line crosses the graph more than once, it is not a function.

Front

Is the relation (2,3), (3,4), (2,5) a function?

Back

No, because the input '2' has two different outputs (3 and 5).

Front

What is an example of a function?

Back

The relation (1,2), (2,3), (3,4) is a function because each input has a unique output.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a graph has a horizontal line, does it affect whether it is a function?

Back

No, a horizontal line does not affect whether a graph is a function; it is the vertical line test that matters.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.