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Math Help - Piecewise Defined Function

  1. #1
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    Piecewise Defined Function

    Evaluate the following piecewise defined function.

    f(x) = {x^2 - 1...if x < 2
    .........{2 - x.......if x>or=to2
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  2. #2
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    Quote Originally Posted by magentarita View Post
    Evaluate the following piecewise defined function.

    f(x) = {x^2 - 1...if x < 2
    .........{2 - x.......if x>or=to2
    I'm not sure what " x>or=to2 " is? Also, where do you want to evaluate this function?
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  3. #3
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    Quote Originally Posted by danny arrigo View Post
    I'm not sure what " x>or=to2 " is?
    She probably meant x \geq 2

    Also, where do you want to evaluate this function?
    We're on the same boat.
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  4. #4
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    Quote Originally Posted by Chop Suey View Post
    She probably meant x \geq 2


    We're on the same boat.
    Of course, I should of just look at it "x > or = 2". That's
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  5. #5
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    Quote Originally Posted by magentarita View Post
    Evaluate the following piecewise defined function.

    f(x) = {x^2 - 1...if x < 2
    .........{2 - x.......if x>or=to2
    I guess you just mean to graph the two functions with their respective restricted domains.

    f(x)=\left\{ \begin{array}{rcl}x^2-1 & \mbox{if} & x<2 \\ 2-x & \mbox{if} & x \geq 2 \end{array} \right.

    Make a table for each function and then graph them. (if not using a graphing calculator)

    Code:
    x | f(x)=x^2 -1
    ------------------
    2 | 3 (not included in graph since x < 2)
    1 | 0
    0 | -1
    -1| 0
    -2| 3
    Code:
    x | f(x)=2 - x
    ------------------
    2 | 0 (included in graph since x >= 2)
    3 | -1
    4 | -2
    5 | -3
    
    See my crude graph.
    Attached Thumbnails Attached Thumbnails Piecewise Defined Function-piece.jpg  
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  6. #6
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    nice work...

    Quote Originally Posted by masters View Post
    I guess you just mean to graph the two functions with their respective restricted domains.

    f(x)=\left\{ \begin{array}{rcl}x^2-1 & \mbox{if} & x<2 \\ 2-x & \mbox{if} & x \geq 2 \end{array} \right.

    Make a table for each function and then graph them. (if not using a graphing calculator)

    Code:
     
    x | f(x)=x^2 -1
    ------------------
    2 | 3 (not included in graph since x < 2)
    1 | 0
    0 | -1
    -1| 0
    -2| 3
    Code:
    x | f(x)=2 - x
    ------------------
    2 | 0 (included in graph since x >= 2)
    3 | -1
    4 | -2
    5 | -3
    See my crude graph.
    Nicely done and great graph!
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