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Math Help - Piecewise function help check

  1. #1
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    Piecewise function help check

    The picture of the graph is attached did I do this right?

    Write the equation form of the piecewise function (all three) from left to right

    Line 1 (left) I got -1/2x-4 for -4<x<-1
    Line 2 (middle) 1x-1 for -1<x<2
    Line 3 (right) y=2 for 2<x

    Then we are to Find the domain and range I got

    D: [-4,2] U [2,infinity) R: [-2,4]
    Attached Thumbnails Attached Thumbnails Piecewise function help check-picture.jpg  
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rj2001 View Post
    The picture of the graph is attached did I do this right?

    Write the equation form of the piecewise function (all three) from left to right

    Line 1 (left) I got -1/2x-4 for -4<x<-1
    Line 2 (middle) 1x-1 for -1<x<2
    Line 3 (right) y=2 for 2<x

    Then we are to Find the domain and range I got

    D: [-4,2] U [2,infinity) R: [-2,4]
    line 1 is incorrect

    and note that your domain is equal to [-4, \infty)

    and your last line is for x \ge 2
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  3. #3
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    Yep agreed, line 1 is incorrect. Rise over Run, Rise is 2 Run is -1
    2/-1=2 so -2x on the interval you had, and line 3, just write it like Jhevon has it.
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  4. #4
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    so now it says I have to find the function values f(-4) f(2) f(4) and f(100)

    Do I just plug the #s to the x? which x? of the first line or second line? am I suppose to get multiple answers or should I have the same
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rj2001 View Post
    so now it says I have to find the function values f(-4) f(2) f(4) and f(100)

    Do I just plug the #s to the x? which x? of the first line or second line? am I suppose to get multiple answers or should I have the same
    plug in the x's in their required piece-wise domain. example, to find f(-4) you would plug in -4 into line 1, why? because -4 is in the range -4 \le x \le -1. and so on
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