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Math Help - Curve Sketching

  1. #1
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    Curve Sketching

    Sketch a graph of a function f that is differentiable and satisfies the following conditions:
    1.
    f'(x)>0, when x<-5
    f'(x)<0, when -5<x<1 and when x>1
    f'(-5)=0 and f'(1)=0
    f(-5)=0 and f(1)=2

    2. sketch a graph of a function f that is differentiable and satisfies the following conditions:
    f'(x)>0 when x<2 and when 2<x<5
    f'(x)<0 when x>5
    f'(2)=0 and f'(5)=0
    f''(x)<0 when x<2 and when 4<x<7
    f''(x)>0 when 2<x<4 and when x>7
    f(0)=-4


    can someone show me their graph too because I want to check if mine is correct
    Last edited by skeske1234; August 21st 2009 at 10:30 AM.
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  2. #2
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    Quote Originally Posted by skeske1234 View Post
    Sketch a graph of a function f that is differentiable and satisfies the following conditions:
    1.
    f'(x)>0, when x<-5
    f'(x)<0, when -5<x<1 and when x>1
    f'(-5)=0 and f'(1)=0
    f(-5)=0 and f(1)=2

    2. sketch a graph of a function f that is differentiable and satisfies the following conditions:
    f'(x)>0 when x<2 and when 2<x<5
    f'(x)<0 when x>5
    f'(2)=0 and f'(5)=0
    f''(x)<0 when x<2 and when 4<x<7
    f''(x)>0 when 2<x<4 and when x>7
    f(0)=-4


    can someone show me their graph too because I want to check if mine is correct
    It would be better if you posted your graph for us to check.
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  3. #3
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    if i knew how..

    how do you attach a file?
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