unit 5 flashcard 1

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

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

Which of the following is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}; {(2,7), (3,7), (4,7), (5,8)}; {(1,-5), (-1,6), (1,5), (6,-3)}; {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

What does it mean if a relation is a function?

Back

Each input corresponds to one and only one output.

Front

If a vertical line touches a graph at more than one point, what does that indicate?

Back

The graph does not represent a function.

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.

Front

Is the relation {(4, 13), (1, 12), (6, 9)} a function?

Back

Yes, because each x-value is unique.

Front

What is the domain when the range is 3 in the relation?

Back

-2

Front

What is an ordered pair?

Back

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