IS IT A FUNCTION?

Front

What is a function?

Back

A relation where every input has only ONE output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

Yes, since no first element is repeated.

Front

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

Back

No, because the first element '1' is repeated.

Front

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

Back

It means that at least one input has more than one output.

Front

Which of the following is a function: { (1,2), (2,3), (3,4) } or { (1,2), (1,3) }?

Back

{ (1,2), (2,3), (3,4) } is a function.

Front

What is an example of a function in real life?

Back

A vending machine: each button (input) gives one specific snack (output).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values).

Front

What is the range of a function?

Back

The set of all possible output values (y-values).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.