Is it 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

Does the relation {(1,5),(1,7),(3,9),(4,11)} represent a function?

Back

No, because the input 1 has two different outputs (5 and 7).

Front

What is the range of a function?

Back

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

Front

What is the domain of a function?

Back

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

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 an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

Front

If a relation has the ordered pairs (2, 3), (3, 4), (4, 5), is it a function?

Back

Yes, because each input has exactly one output.

Front

What happens if a relation has two ordered pairs with the same first element but different second elements?

Back

It is not a function, because one input cannot have multiple outputs.

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 crosses the graph more than once, it is not a function.

Front

Which of the following is a function: {(1,2), (2,3), (3,4)} or {(1,2), (1,3), (2,4)}?

Back

{(1,2), (2,3), (3,4)} is a function; {(1,2), (1,3), (2,4)} is not.