Function or Not 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

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 intersects the graph at more than one point, it is not a function.

Front

Which ordered pair would prevent this table from being a function? (10, 10), (2, 4), (6, 1), (-2, 0)

Back

(-2, 0) because it shares the same x value with another ordered pair.

Front

What must be true for a relation to be a function?

Back

Each x value must have only one corresponding y value.

Front

Can a function have the same y value for different x values?

Back

Yes, a function can have the same y value for different x values, as long as each x value has only one y value.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x value is unique.

Front

What is an example of a non-function?

Back

The relation {(1, 2), (1, 3), (2, 4)} is not a function because the x value 1 corresponds to two different y values.

Front

What does it mean if a graph fails the vertical line test?

Back

If a graph fails the vertical line test, it means that there are at least two points with the same x value, indicating it is not a function.

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.