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Math Help - determining multipart functions

  1. #1
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    determining multipart functions

    The graph of a function y = g(x)
    on the domain −4x4
    consists of line segments and semicircles of radius 1 connecting the points (−4, 0), (−2, 2), (0, 2), (2, 2), (4, 0).


    (c) Find the multipart formula for y=g(x)
    if -4≤x≤-2
    if -2≤x≤0
    if 0≤x≤2
    if 2≤x≤4

    to solve this, I used the formula of the line for
    (-4≤x≤-2) = y= -x-4
    (2≤x≤-2) = y=

    and the pos/neg semi-circle equations for
    (-2≤x≤0) =y =2+sqrt(x2-2x)
    (0≤x≤2) = y = 2-sqrt(x2-2x)

    But none of my answers were correct. what should I try now?







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  2. #2
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    Re: determining multipart functions

    Quote Originally Posted by UWstudent View Post
    The graph of a function y = g(x)
    on the domain −4 ≤ x ≤ 4
    consists of line segments and semicircles of radius 1 connecting the points (−4, 0), (−2, 2), (0, 2), (2, 2), (4, 0).


    (c) Find the multipart formula for y=g(x)
    if -4≤x≤-2
    if -2≤x≤0
    if 0≤x≤2
    if 2≤x≤4
    From $(-4,0)\to (-2,2)$ the slope of the line is positive $1$.
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  3. #3
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    Re: determining multipart functions

    Oh! I was doing this problem wayyy too late last night (early this morning..)
    My approach was correct, I just made calculation errors on all of them
    I got:
    x+4
    2+sqrt1-(x+1)^2
    2-sqrt1-(x-1)^2
    -x+4
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