Functions or Not?

Front

Is this table a function or not a function?

Back

Not a Function

Front

What is the definition of function?

Back

Every input has only ONE output.

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

Which relation is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}; {(2,7), (3,7), (4,7), (5,8)}; {(1,-5), (-1,6), (1,5), (6,-3)}; {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

Is this mapping a function or not a function?

Back

Not a Function

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

Give an example of a function.

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

Give an example of a relation that is not a function.

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two outputs.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is paired with exactly one input.