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Math Help - Filling in a piecewise graph

  1. #1
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    Filling in a piecewise graph

    Hello, I'm having trouble finding the functions for this piecewise function. I've tried what applying what I've learned based on what function graphs should look like, but I keep getting the answer wrong. The question is asking for me to input an algebraic expression for this piecewise graph. Can someone help me?
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  2. #2
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    Re: Filling in a piecewise graph

    what are your "answers"?
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  3. #3
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    Re: Filling in a piecewise graph

    ???
    2 if -3<x<=2
    2 if 2<x<6

    I'm basing my "answers" off what I did on a previous problem where instead of filling in (Formula, if domain is) it was (Formula, what is the domain in interval notation). Am I supposed to write an equation or fill in a number or am I getting the concept entirely wrong.
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  4. #4
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    Re: Filling in a piecewise graph

    Hello, DasRabbit!

    The graph is not well-defined.


    Hello, I'm having trouble finding the functions for this piecewise function.

    The first (leftmost) segment seems to connect \left(\text{-}6,\,\tfrac{3}{2}\right) with (\text{-}3,\,3)
    That line has the equation: y \:=\:\tfrac{1}{2}x + \tfrac{9}{2}

    Next is the horizontal line: y = 2

    The last line does not pass through any other lattice points.
    But it seems to have a y-intercept of 6.
    Then its equation would be: y \:=\:\text{-}\tfrac{5}{2}x + 6


    So I have: . f(x) \;=\;\begin{Bmatrix}\frac{1}{2}x+\frac{9}{2} && \text{if }\text{-}6\,\le\,x\,\le\,\text{-}3 \\ 2 && \text{if }\text{-}3 \,<\,x\,\le 2\;\; \\ \text{-}\frac{5}{2}x+6 && \text{if }2\,<\,x\,\le\,6  \end{Bmatrix}
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