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Math Help - functions...help?

  1. #1
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    Exclamation functions...help?

    Use a graphing calculator to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant.

    f(x)= 4x, x<2
    f(x)= 8, 2<x<6
    f(x)= -1/2x+11, x>6

    I think my biggest problem with this question...is that I don't understand the question. I have never had a problem like this before and am not sure how to graph this with my calculator or what is meant by visually determining the intervals...Help, please?
    Last edited by iheartthemusic29; July 17th 2007 at 01:54 PM. Reason: I NEED HELP!!!
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  2. #2
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    Quote Originally Posted by iheartthemusic29 View Post
    Use a graphing calculator to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant.

    f(x)= 4x, x<2
    f(x)= 8, 2<x<6
    f(x)= -1/2x+11, x>6

    I think my biggest problem with this question...is that I don't understand the question. I have never had a problem like this before and am not sure how to graph this with my calculator or what is meant by visually determining the intervals...Help, please?
    Hello,

    you have to examine a piecewise defined function:

    f(x)=\left\{\begin{array}{cc}4x,& x \leq 2 \\8, &  2 < x \leq 6 \\ -\frac{1}{2}x + 11, & x > 6 \end{array}\right.

    I'm going to show you how to type this function into your calculator:
    1. Open the \boxed{y=} editor. Go to y1= and press F3

    2. Pick from the catalog the command when(

    3. The complete input line looks like this:

    y1= when(x ≤ 6, when(x ≤ 2, 4x,8),-1/2*x+11)

    You get the sign ≤ by typing <=. Your calculator transform these two signs into one sign.

    4. Open the \boxed{\text{WINDOW}} editor. Use the following settings:
    xmin = -2
    xmax = 10
    xscl = 1
    ymin = -2
    ymax = 10
    yscl = 1
    xres = 3

    I've attached 2 screenshots:
    1. The input screen
    2. The graph of the function
    Attached Thumbnails Attached Thumbnails functions...help?-stckweise_darstellung.gif   functions...help?-stckweise_fkt1.gif  
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