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anonymous

  • 5 years ago

From the graph of g, state the intervals on which g is continuous. Select all that apply. http://www.webassign.net/scalc/2-4-4.gif (-INFINITY, -4] (-INFINITY, -4) [-4,-2] [-4,-2) [-2,2] (-2,2) [2,4] [2,4) [4,6] (4,6) [6,8] (6,8) [8,INFINITY) (8,INFINITY)

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  1. anonymous
    • 5 years ago
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    [-4,2)U(-2,2)U[2,4)U(4,6)U(6,8)

  2. anonymous
    • 5 years ago
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    U SURE??

  3. anonymous
    • 5 years ago
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    yeah..i'm pretty sure we learned this in calc.

  4. anonymous
    • 5 years ago
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    you cant include the end points,

  5. anonymous
    • 5 years ago
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    in order to be continuous the function has to be defined at the point and have a limit at the point, and the two must equal each other.

  6. anonymous
    • 5 years ago
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    x=-4, has not limit from the LHS, it cant be continuous, should be an open bracket

  7. anonymous
    • 5 years ago
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    there is no open circle on 4

  8. anonymous
    • 5 years ago
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    (-4,-2) , but they dont give that as an option

  9. anonymous
    • 5 years ago
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    wat does it mean if there is no corcle at the end of something?

  10. anonymous
    • 5 years ago
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    *circle

  11. anonymous
    • 5 years ago
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    it means it includes that point

  12. anonymous
    • 5 years ago
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    so wud that be open or closed?

  13. anonymous
    • 5 years ago
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    but there is nothing to the left of it , there is no LHS limit

  14. anonymous
    • 5 years ago
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    there is no way to approach x=-4 from the negative x axis , because its not defined , so strictly speaking it shouldnt be continuous there ( even though the answer doesnt give (-4,-2) as an interval that you can choose

  15. anonymous
    • 5 years ago
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    sadas answrs were correct tho

  16. anonymous
    • 5 years ago
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    yeh, but what was this ?, a online assignment site? , I am smarter than those computers

  17. anonymous
    • 5 years ago
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    hahaha yeah it is

  18. anonymous
    • 5 years ago
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    i just dont get waht it means when ther is no circle at the end of a line

  19. anonymous
    • 5 years ago
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    eg when x=4

  20. anonymous
    • 5 years ago
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    lol wud u know dumbcow?

  21. anonymous
    • 5 years ago
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    when x=4, the function tends to infinity, therefore, there is no limit there, and if there is no limit, it cannot be continuous at that point.

  22. anonymous
    • 5 years ago
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    but the answer was (4,6).....this implies that at 4 its open?

  23. anonymous
    • 5 years ago
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    yes. it is open because it is not strictly defined at that point.

  24. anonymous
    • 5 years ago
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    okay so it continues at that point right?

  25. anonymous
    • 5 years ago
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    til infinity?

  26. anonymous
    • 5 years ago
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    it is only continuous if it has a limit everywhere and if it is defined everywhere.. in the case of x=4, the limit tends to infinity (which means there is no real limit) so therefore, it cannot be continuous.

  27. anonymous
    • 5 years ago
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    oh but the q asked for which interval is it continous?

  28. anonymous
    • 5 years ago
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    yes, and that was elec's point.

  29. anonymous
    • 5 years ago
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    lol im confused

  30. anonymous
    • 5 years ago
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    The definition of continuity I was taught at uni was , has right hand side and left hand side limits equal and they must equal the function value

  31. anonymous
    • 5 years ago
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    which point are you confused about and?

  32. anonymous
    • 5 years ago
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    that if at x=4 is not continous how come the interval of (4,6) is continous

  33. anonymous
    • 5 years ago
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    because we are using open brackets on both sides..with open brackets, you are not including the x=4 or the x=6 in your answer.

  34. anonymous
    • 5 years ago
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    you need to learn your notation correctly

  35. anonymous
    • 5 years ago
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    so basically at the end of 4 is an open bracket then

  36. anonymous
    • 5 years ago
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    on the intervals [4,6) or (4,6] or [4,6] the function would be discontinuous

  37. anonymous
    • 5 years ago
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    you just have to get use to interval notation

  38. anonymous
    • 5 years ago
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    and..yes .. basically.

  39. anonymous
    • 5 years ago
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    haha lol.ty sadas. which uni u go too elecengineer?

  40. anonymous
    • 5 years ago
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    unsw

  41. anonymous
    • 5 years ago
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    fair enuf. which high school did u go too?

  42. anonymous
    • 5 years ago
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    south sydney high school , in maroubra, I live like 10minutes away from the uni

  43. anonymous
    • 5 years ago
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    you porbably never heard of the school, its not really famous for anything , just an average school

  44. anonymous
    • 5 years ago
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    cool.. i went to hurlstone agricultural high. ever heard of it b4 ?lol

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