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anonymous

  • one year ago

please help :) Function or not a function? one to one or many to one? please explain! Pictures attached.

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  1. Mertsj
    • one year ago
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    A function is a relation in which no two ordered pairs have the same first number.

  2. anonymous
    • one year ago
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    Sorry, i'm having a hard time uploading photos. There are specific ones I don't get

  3. anonymous
    • one year ago
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  4. anonymous
    • one year ago
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  5. anonymous
    • one year ago
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    is the first picture a function? I know the rest but not sure if they're one to one or not

  6. myininaya
    • one year ago
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    the first picture is just a picture of one graph right?

  7. anonymous
    • one year ago
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    yup!

  8. myininaya
    • one year ago
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    Anyways have you ever heard of a vertical line test?

  9. anonymous
    • one year ago
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    yeah, but i'm still not sure about that one :/

  10. myininaya
    • one year ago
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    the holes you see there means the function isn't actually defined there do you know that?

  11. anonymous
    • one year ago
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    nope, i'm confused

  12. myininaya
    • one year ago
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    for example: |dw:1435801685311:dw| f(1)=1

  13. myininaya
    • one year ago
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    like f(1) is not assigned to 0

  14. anonymous
    • one year ago
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    oh so does that mean it passes the vertical line test?

  15. myininaya
    • one year ago
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    yep

  16. anonymous
    • one year ago
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    ohh thanks! how do you tell if it's one to one?

  17. myininaya
    • one year ago
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    there is a horizontal line test you can perform

  18. myininaya
    • one year ago
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    if you draw a horizontal line and more than one point lies on it then it is not one-to-one

  19. anonymous
    • one year ago
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    wait so do i consider the points that aren't defined

  20. myininaya
    • one year ago
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    you only considered things that are defined

  21. anonymous
    • one year ago
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    is it one to one then because the other point isn't defined

  22. myininaya
    • one year ago
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    |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|

  23. myininaya
    • one year ago
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    no just so you know when you see a curve or a line you are actually seeing infinitely many points together

  24. myininaya
    • one year ago
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    |dw:1435801941050:dw|

  25. anonymous
    • one year ago
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    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?

  26. myininaya
    • one year ago
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    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

  27. myininaya
    • one year ago
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    well the second one is not even a function do you know why?

  28. anonymous
    • one year ago
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    yep doesn't pass the vertical line test

  29. myininaya
    • one year ago
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    oh you mean

  30. myininaya
    • one year ago
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    the second picture first graph sorry

  31. myininaya
    • one year ago
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    anyways the first graph is a function because it passes the vertical line test why do you say it is non one to one?

  32. anonymous
    • one year ago
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    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

  33. myininaya
    • one year ago
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    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

  34. anonymous
    • one year ago
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    ok thanks! i think i got the hang of it. :)

  35. myininaya
    • one year ago
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    cool stuff :)

  36. anonymous
    • one year ago
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    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? ://

  37. anonymous
    • one year ago
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    @myininaya

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