Functions and One to One

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

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

• No, because each x-value has only one y-value paired with it.

Is this graph a ONE TO ONE function? 

• yes, one to one function

• No, not one to one function

Is this graph ONE TO ONE function?

• yes, one to one function 

• no, not one to one function

Is this graph a function or not a function? 

• Function

• Not a Function

Determine which function is one-to-one.

• {(1, 3), (2, 3), (3, 3), (4, 3), (5, 3)}

• {(1, 3), (2, 4), (3, 5), (4, 4), (5, 3)}

• {(1, -2), (2, -1), (3, 0), (4, 1), (5, 2)}

• {(3, 1), (3, 2), (3, 3), (3, 4), (3, 5)}

If your original equation is a function (every x value has only 1 y value) AND the inverse equation is also a function. This means that the original function is called a _______________

• One-to-one function

• A merry-go-round function

• Inverse Function

• Flip Flopper function

For a function to be a one-to-one function, For every x there must be one y and for every y there must be one x

• True

• False

A function is _____________ if no two elements of the domain map to the same element in the range

• One to One

• Two to Two

• Skipped

• Two to One

Which function is not one-to-one on its domain?

• f(x) = x²

• f(x) = 10^x

• f(x) = √x

• f(x) = log x

Does this mapping diagram represent a function?

• No, because there are repeating input values

• Yes, because there are no repeating input values