Question

One to one function?

Answer 1

I am really confused on this, I was reading that you should be able to flip so the x is positive?

Answer 2

This graph as shown looks as if it could be the graph of the function y = -(absolute value((x).

Is the question whether or not this function is one-to-one? If so, no flipping is required to determine that.

Answer 3

@Virgo91684

Answer 4

Yes, it says use the horizontal line test to determine if the graph represents a one to one function

Answer 5

And, for 1-1 function testing, a vertical line test is also necessary.

Answer 6

For every x, there can be exactly one corresponding y-value for that x.

Answer 7

if i asked you what x equals...at y = -2

what would you answer?

Answer 8

And, for every y value, there can be exactly one x that corresponds to that y.

Answer 9

With the graph as it is, look to see if when you pass a a vertical line through the graph, does a given vertical line intersect the graph in more than one point? That establishes the graph as a function.

Answer 10

I want to say no the vertical line would not intercept more than one point?

Answer 11

If it were horizontal, than yes?

Answer 12

Sorry I am just really confused and trying to understand this all!

Answer 13

That is correct. Therefore, the function is NOT one-to-one.

Answer 14

omg yay!

Answer 15

It is confusing but the horizontal and vertical line tests help clear the matter for me.
But, I tend to be a visual learner.

Answer 16

I am as well. Wow okay thank you so so much!

Answer 17

For a function, there can be no two-timing x values. If an x goes anywhere, it goes to exactly one y.

But, the y value don't have to obey that rule.

In a one-to-one function, there can be no two timing x value AND no two timing y-values. Strictly one x for a given y and that y can match up only with that x.

Answer 18

A line such as y = x would be one to one.