Is the relation 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

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

Back

Yes, this mapping is a function because each input has a unique output.

Front

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

Back

No, this mapping is not a function because the input '1' has two different outputs (2 and 3).

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no two rows have the same input value with different output values.

Front

Is the relation represented by the graph of a circle a function?

Back

No, the graph of a circle is not a function because a vertical line can intersect it at two points.

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: each button (input) corresponds to one specific item (output).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.