Function or Not?

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 relation?

Back

A relation is a set of ordered pairs, which can include functions and non-functions.

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

Given the relation {(1,5),(1,7),(3,9),(4,11)}, is it a function?

Back

No, because the input '1' is associated with two different outputs (5 and 7).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Is the mapping {(2,3),(3,4),(4,5)} a function?

Back

Yes, because each input has exactly one output.

Front

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

Back

No, because the input '1' is associated with two different outputs (2 and 3).

Front

What is an example of a function in real life?

Back

A function can be seen in a vending machine where each button (input) gives 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.