Identifying Functions

Front

What is the definition of a function?

Back

Every input has only one output.

Front

Does this table represent a function?

Back

Yes.

Front

Which set of ordered pairs is a function? {(9,5), (10,5), (9,-5), (10,-5)}; {(3,4), (4,-3), (7,4), (3, 8)}; {(6,-5), (7, -3), (8, -1), (9, 1)}; {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

{(6,-5), (7, -3), (8, -1), (9, 1)}.

Front

Is this a function? Explain: It passes the horizontal line test.

Back

No; it does not pass the vertical line test.

Front

Is the relation a function? Why: Yes, because the x-value 11 has two y-values pair with it.

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is the vertical line test?

Back

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

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a graph.

Front

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

Back

Each output is paired with exactly one input; no two different inputs produce the same output.

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.