Question

True or false.
F(x)=6 is not a one to one function.

True? Right?

Answer 1

Do you know what a one to one function is?

Answer 2

1 to 1 means that for all values in the range there is a unique value in the domain. so if all x's go to 6 what is it 1 to 1?

Answer 3

Easy way to check a 1 - to - 1 function is with a vertical line test, if y = f(x) is a function it will PASS a vertical line test.

Answer 4

f(x) = y

Answer 5

So lets graph it

Answer 6

1 to 1 needs to pass the horizontal line test.

Answer 7

Yeah, but it doesn't pass the test right? Because all of the Y's are the same?

Answer 8

etc, actually it has to pass both horizontal and vertical.

Answer 9

there you go.

Answer 10

And now you can test horizontal and it would not pass.