functions domain range

Front

What is a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine the domain from a graph?

Back

The domain is found by reading the ends of the graph from left to right.

Front

How do you determine the range from a graph?

Back

The range is found by reading the ends of the graph from bottom to top.

Front

Which of the following 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) is a function.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {-4, 0, 1, 2}.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the range?

Back

The range is {-4, -3, 1}.

Front

What does it mean for a relation to be a function?

Back

For every input, there is exactly one output.

Front

What is the vertical line test?

Back

If a vertical line intersects a graph at more than one point, the relation is not a function.