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Math Help - From the graph of g, state the intervals on which g is continuous.

  1. #1
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    From the graph of g, state the intervals on which g is continuous.

    Graph:
    http://www.webassign.net/scalc/2-4-4.gif


    Answers to choose from:

    (-, -4]
    (-, -4)
    [-4,-2]
    [-4,-2)
    [-2,2]
    (-2,2)
    [2,4]
    [2,4)

    [4,6]
    (4,6)
    [6,8]
    (6,8)
    [8,)
    (8,)

    Looking at the graph I would say the answer should be:

    (4,2]
    [2,2]
    (2,4)
    (4,6]
    [6,8]


    Please help I am so confused!
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  2. #2
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    Re: From the graph of g, state the intervals on which g is continuous.

    With your answer, did you consider where x<0?
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  3. #3
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    Re: From the graph of g, state the intervals on which g is continuous.

    I am sorry, I don't understand.

    I am also very confused regarding brackets.

    from -4 to -2 it should be (-4,-2] right?
    closed dots mean included and open dots mean not included.

    However this answer isn't listed so my logic must be wrong.
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  4. #4
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    Re: From the graph of g, state the intervals on which g is continuous.

    Hello, NeoSonata!

    From the graph, state the intervals where f(x) is continuous.
    Code:
                        |           :
            ♥           |           :
              *         |           :     o
                *       |           :       *
                  o     |          *:*        *
                        |     o     :     ♥     o
                  ♥     |  *      * : *
                        |*          :
      - - - + - - + - - * - - + -*- + -*- + - - + - -
           -4    -2    *|     2 *   4   * 6     8
                     *  |           :
                  o     |     ♥     :     o
                        |           :

    Answers to choose from:

    . . \begin{array}{ccccccc} (\text{-}\infty,\text{-}4) & [\text{-}4,\text{-}2] & [\text{-}2,2] & [2,4] & [4,6] & [6,8] & [8,\infty) \\ (\text{-}\infty, \text{-}4] & [\text{-}4,\text{-}2) & (\text{-}2,2) & [2,4) & (4,6) & (6,8) & (8,\infty)\end{array}

    You omitted the minus-signs in your intervals.
    And you have the parentheses and brackets reversed.

    Note
    [2,5] means: from 2 to 5, including the 2 and 5.
    (2,5) means: from 2 to 5, not including the 2 and 5.


    The correct answer is: . [\text{-}4,\text{-}2)\;(\text{-}2,2) \;[2,4) \;(4,6)\;(6,8)

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