anonymous
  • anonymous
please help :) Function or not a function? one to one or many to one? please explain! Pictures attached.
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Mertsj
  • Mertsj
A function is a relation in which no two ordered pairs have the same first number.
anonymous
  • anonymous
Sorry, i'm having a hard time uploading photos. There are specific ones I don't get
anonymous
  • anonymous
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anonymous
  • anonymous
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anonymous
  • anonymous
is the first picture a function? I know the rest but not sure if they're one to one or not
myininaya
  • myininaya
the first picture is just a picture of one graph right?
anonymous
  • anonymous
yup!
myininaya
  • myininaya
Anyways have you ever heard of a vertical line test?
anonymous
  • anonymous
yeah, but i'm still not sure about that one :/
myininaya
  • myininaya
the holes you see there means the function isn't actually defined there do you know that?
anonymous
  • anonymous
nope, i'm confused
myininaya
  • myininaya
for example: |dw:1435801685311:dw| f(1)=1
myininaya
  • myininaya
like f(1) is not assigned to 0
anonymous
  • anonymous
oh so does that mean it passes the vertical line test?
myininaya
  • myininaya
yep
anonymous
  • anonymous
ohh thanks! how do you tell if it's one to one?
myininaya
  • myininaya
there is a horizontal line test you can perform
myininaya
  • myininaya
if you draw a horizontal line and more than one point lies on it then it is not one-to-one
anonymous
  • anonymous
wait so do i consider the points that aren't defined
myininaya
  • myininaya
you only considered things that are defined
anonymous
  • anonymous
is it one to one then because the other point isn't defined
myininaya
  • myininaya
|dw:1435801820547:dw| back to my picture again this function is not one-to-one because you have both f(1/2)=0 and f(0)=0 so for example on the imaginary horizontal line y=0 we see that more than one point lies it |dw:1435801903911:dw|
myininaya
  • myininaya
no just so you know when you see a curve or a line you are actually seeing infinitely many points together
myininaya
  • myininaya
|dw:1435801941050:dw|
anonymous
  • anonymous
oh!! i get it now. thanks! so the second picture, first one is not one to one right? and the circle graph isn't too? but the third (line) is?
myininaya
  • myininaya
we could also looked at the other line segment I drew but we only need one example to tell us that the function is not one-to-one
myininaya
  • myininaya
well the second one is not even a function do you know why?
anonymous
  • anonymous
yep doesn't pass the vertical line test
myininaya
  • myininaya
oh you mean
myininaya
  • myininaya
the second picture first graph sorry
myininaya
  • myininaya
anyways the first graph is a function because it passes the vertical line test why do you say it is non one to one?
anonymous
  • anonymous
idk i think it is because there is like a straight line on the x axis in the middle? so it doesn't pass the test or is that wrong
myininaya
  • myininaya
ok I thought that graph was basically of f(x)=x^3 which looks like this: |dw:1435802164888:dw| which is one-to-one but I'm having a little trouble reading that graph if that graph is really: |dw:1435802205725:dw| then yeah it isn't one to one
anonymous
  • anonymous
ok thanks! i think i got the hang of it. :)
myininaya
  • myininaya
cool stuff :)
anonymous
  • anonymous
wait I just took a test and it had a problem with the second graph you drew. I put it wasn't one to one and it was incorrect? ://
anonymous
  • anonymous
@myininaya

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