IS IT 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 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 {(1,2), (2,3), (1,4)} a function?

Back

Not a Function (the input 1 has two outputs: 2 and 4).

Front

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

Back

Function (each input has a unique output).

Front

What does it mean if a relation is not a function?

Back

It means that at least one input is associated with more than one output.

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.

Front

Is the table below a function? Input: 1, 2, 3 Output: 4, 4, 5

Back

Function (the input 2 has the same output 4, but each input has only one output).

Front

Is the table below a function? Input: 1, 2, 3 Output: 4, 5, 4

Back

Not a Function (the input 1 and 3 both have the output 4).

Front

What is an example of a function in real life?

Back

A vending machine is a function; each button (input) gives one specific snack (output).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each input has a unique output and each output corresponds to one input.