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Math Help - Secant lines...completely lost.

  1. #1
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    Secant lines...completely lost.

    a. For each function find the average rate of change of f from 1 to x.
    b. Use the result from part (a) to compute the average rate of change from x=1 to x=2. Simplify.
    c. Find an equation fo the secant line containing (1, f(1)) and (2,f(2)).

    My work:
    1-3x+2/(x-1)=3x+1/(x-1)

    Here is where I'm getting stuck mostly. I don't understand how that could be the rate of change of f from 1 to x. I feel that if I can understand part a I can understand the rest of the parts.
    I also can't see any way to factor this.
    If anybody could help I would be very appreciative.
    Thanks! =)
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  2. #2
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    skeeter's Avatar
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    Quote Originally Posted by Voluntarius Disco View Post
    a. For each function find the average rate of change of f from 1 to x.
    b. Use the result from part (a) to compute the average rate of change from x=1 to x=2. Simplify.
    c. Find an equation fo the secant line containing (1, f(1)) and (2,f(2)).

    My work:
    1-3x+2/(x-1)=3x+1/(x-1)

    Here is where I'm getting stuck mostly. I don't understand how that could be the rate of change of f from 1 to x. I feel that if I can understand part a I can understand the rest of the parts.
    I also can't see any way to factor this.
    If anybody could help I would be very appreciative.
    Thanks! =)
    you know, it would help to know what f(x) is ...
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  3. #3
    MHF Contributor

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    Quote Originally Posted by Voluntarius Disco View Post
    a. For each function find the average rate of change of f from 1 to x.
    b. Use the result from part (a) to compute the average rate of change from x=1 to x=2. Simplify.
    c. Find an equation fo the secant line containing (1, f(1)) and (2,f(2)).

    My work:
    1-3x+2/(x-1)=3x+1/(x-1)
    There is NO "work" shown here, just an equation. In particular, a skeeter said, without know what function you are working with, this is meaningless.

    Here is where I'm getting stuck mostly. I don't understand how that could be the rate of change of f from 1 to x. I feel that if I can understand part a I can understand the rest of the parts.
    I also can't see any way to factor this.
    If anybody could help I would be very appreciative.
    Thanks! =)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member pacman's Avatar
    Joined
    Jul 2009
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    voluntarius disco, this may help you,


    a graph



    x = 0 and 7/6 is the intersection of the left and right side of the equation. But i dont know what you are looking for.....
    Attached Thumbnails Attached Thumbnails Secant lines...completely lost.-secant-line.gif  
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