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Math Help - Minimum

  1. #1
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    Minimum

    f(x)=abs(x+2)+abs(x-1)-2 will this graph have a minimum? it decreases and remains constant for a small interval can I say these are minimums if they are in a consecutive line?

    Thank you
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  2. #2
    Newbie eigenvex's Avatar
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    Yes, it just means it has infinite minima (there are an infinite number of points in the line)
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  3. #3
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    Hello, IDontunderstand!

    f(x)\:=\:|x+2|+ |x-1|-2
    Will this graph have a minimum?

    It decreases and remains constant for a small interval . . . .
    then increases.
    Can I say these are minimums if they are in a consecutive line?
    I say Yes . . .

    The graph looks something like this:

    Code:
                    |
            *       |       *
             *      |      *
              *     |     *
               *   1|    *
                * * * * *
                    |
          - - - + - + - + - - - -
               -1   |   1
                    |

    The graph has a minimum value: . f(x) \,=\,1
    . . which occurs for  |x|\,\leq 1

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