Function or Not?

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-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

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

Back

A relation is a function if every x-value has only one corresponding y-value.

Front

Can a function have repeating x-values?

Back

Yes, a function can have repeating x-values as long as each x-value corresponds to 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 has a unique y-value.

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 x-values that correspond to multiple y-values, indicating it is not a function.

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value appears more than once with different y-values. If it does, it is not a function.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, and it determines the corresponding y-value (output).

Front

What is the significance of the y-value in a function?

Back

The y-value is the output of the function, which is determined by the input x-value.