Function/Non Function Flashcard 3

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 a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a table represents a function?

Back

Check if any x-value is repeated. If it is, the table does not represent a function.

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

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has a unique y-value.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

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

Back

In a mapping, each input must correspond to exactly one output.

Front

If a graph passes the vertical line test, what can we conclude?

Back

The graph represents a function.

Front

What is an example of a non-function in a graph?

Back

A circle or a parabola that opens sideways, where a vertical line intersects it at two points.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.