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anonymous

  • 5 years ago

need help with continuity of limits graph posted

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  1. anonymous
    • 5 years ago
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    top one is question below one is example

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  2. anonymous
    • 5 years ago
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    hello

  3. watchmath
    • 5 years ago
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    It seems you didn't understand what I said earlier :). All the limits and f(2)=4 in this case. So the function is continuous.

  4. anonymous
    • 5 years ago
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    well here are the tougher q's i dont know if she wants us to graph or not

  5. anonymous
    • 5 years ago
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    4. Find where the Functions are discontinuous. a. F(x) = x + 3/ x2 – 9 b. F(x) = x + 6/ x2 + 36 c. F(x) = 3x - 6

  6. watchmath
    • 5 years ago
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    Well you can try by sketching the graphs and see where the function has a hole, jump or asymptote.

  7. anonymous
    • 5 years ago
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    i was thinking factoring the denominator

  8. anonymous
    • 5 years ago
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    for a)

  9. watchmath
    • 5 years ago
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    yes that's good

  10. anonymous
    • 5 years ago
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    then it comes out to 0/x-3

  11. anonymous
    • 5 years ago
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    i am horrible at math i will admit i dont know what to do next

  12. watchmath
    • 5 years ago
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    when you factor you have \(\frac{x+3}{(x+3)(x-3)}\). Remember we can't divide by zero. So the function is undefined at x=-3 and x=3. Then at those points the function is discontinuous.

  13. anonymous
    • 5 years ago
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    F(x) = x + 6/ x2 + 36 so for this its at x+6 and x-6

  14. anonymous
    • 5 years ago
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    so at 6 and -6

  15. watchmath
    • 5 years ago
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    But if you plug in x=-6 or 6 to x^2+6 you won't get zero.

  16. anonymous
    • 5 years ago
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    wait its x^2 + 6

  17. anonymous
    • 5 years ago
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    so graph is continous eveywhere

  18. watchmath
    • 5 years ago
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    yes

  19. anonymous
    • 5 years ago
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    its a straight line

  20. watchmath
    • 5 years ago
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    good

  21. anonymous
    • 5 years ago
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    F(x) = 3x - 6

  22. anonymous
    • 5 years ago
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    same with this one?

  23. watchmath
    • 5 years ago
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    yup

  24. anonymous
    • 5 years ago
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    have a good one bro

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