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anonymous

  • one year ago

Use graphs and tables to find the limit and identify any vertical asymptotes of the function

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  1. anonymous
    • one year ago
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  2. freckles
    • one year ago
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    well the graph of f(x)=1/x is very similar |dw:1433571747343:dw|

  3. freckles
    • one year ago
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    |dw:1433571768376:dw|

  4. anonymous
    • one year ago
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    I plugged it into my calculator and got the table

  5. freckles
    • one year ago
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    notice g(x)=1/(x-10) is just going to have the va moved over to the right 10 units

  6. freckles
    • one year ago
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    since x-10=0 gives us x=10

  7. freckles
    • one year ago
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    |dw:1433571829590:dw|

  8. freckles
    • one year ago
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    |dw:1433571854644:dw| do you see the invisible vertical line that the function is getting closer to find the right and left?

  9. freckles
    • one year ago
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    from* (not find)

  10. anonymous
    • one year ago
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    Yes that is the asymptote?

  11. freckles
    • one year ago
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    yes

  12. freckles
    • one year ago
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    and don't forget 10 is not an equation you would need to write x=10 this is the vertical line that I drew in the above picture

  13. anonymous
    • one year ago
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    Okay!

  14. freckles
    • one year ago
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    now it looks like your question asks us to find the limit since plugin in 10 gives 1/0 we know we have either -inf or inf and we definitely know we have a va at x=10 since we get something/0 where the something isn't 0 when pluggin in 10

  15. freckles
    • one year ago
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    to determine if we have -inf or inf look at the y values

  16. freckles
    • one year ago
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    determine if they are negative or positive to the left of x=10

  17. anonymous
    • one year ago
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    negative, getting smaller

  18. freckles
    • one year ago
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    |dw:1433572044573:dw| these points are getting lower and lower

  19. freckles
    • one year ago
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    yes

  20. freckles
    • one year ago
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    well they actually call it negative large or negative infinity

  21. anonymous
    • one year ago
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    ok, is there anything else i need to answer this question?

  22. freckles
    • one year ago
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    if wanted the right limit that would look like this in pretty math symbols \[\lim_{x \rightarrow 1^+}\frac{1}{x-10}\] |dw:1433572155988:dw| so from the right you would say the y's approach positive infinity or just infinity anyways answer to your question is do you do a table because it ask for a table too not just a graph

  23. freckles
    • one year ago
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    |dw:1433572247181:dw| chose some values of x and found out what the corresponding y value is like you can probably use the one's in the table or maybe use x=5 x=9 x=9.05 x=9.99 x=9.99 you are just trying to figure out what is happening to 1/(x-10) for those x's

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