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anonymous

  • one year ago

Can you help me solve this question?

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  1. anonymous
    • one year ago
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  2. diamondboy
    • one year ago
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    Hi

  3. diamondboy
    • one year ago
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    do you understand what the limit notation is?

  4. diamondboy
    • one year ago
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    it means find the limit of this piecewise function as it approaches 0

  5. anonymous
    • one year ago
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    as x approaches... and so on

  6. diamondboy
    • one year ago
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    which one of the functions are approaching 0?

  7. anonymous
    • one year ago
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    10x+7

  8. anonymous
    • one year ago
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    I'm not sure I understand.

  9. UsukiDoll
    • one year ago
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    We have a piecewise function ... so we graph the equation 7-x^2 when x <0 7 when x = 0 10x+7 x > 0 then we have to find the limit as x approaches 0 (but we need to look at as x approaches 0 to the left and as x approaches 0 to the right). the limit is in the y-axis and it must be the same value otherwise no limit exists.

  10. anonymous
    • one year ago
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    So 7

  11. diamondboy
    • one year ago
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    thanks UsukiDoll

  12. diamondboy
    • one year ago
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    nope

  13. diamondboy
    • one year ago
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    what is the function approaching as it gets closer and closer to 0 from the left and right?

  14. anonymous
    • one year ago
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    Than it doesn't exist?

  15. UsukiDoll
    • one year ago
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    does anyone know how to graph piecewise functions in desmos?

  16. anonymous
    • one year ago
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    I thought it approached 7

  17. diamondboy
    • one year ago
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    look at the y values of the function as the x values approaches 0

  18. diamondboy
    • one year ago
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    I think you are right @xamr

  19. anonymous
    • one year ago
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    You do?

  20. diamondboy
    • one year ago
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    yep...

  21. anonymous
    • one year ago
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    Alright, thanks then.

  22. diamondboy
    • one year ago
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    hang on b4 u medal I want to confirm

  23. anonymous
    • one year ago
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    sure thing, chief

  24. UsukiDoll
    • one year ago
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    this is a very zoomed version of the three graphs on desmos.. though one seems to overlap and not show up

  25. diamondboy
    • one year ago
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    then you are correct @xamr

  26. UsukiDoll
    • one year ago
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    yup when I did the three graphs as x approaches 0 to the left I got 7 As x approaches 0 to the right I got 7 since the values are the same the limit as x approaches 0 is 7

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