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Math Help - Graphing a function when given characteristics...

  1. #1
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    Graphing a function when given characteristics...

    sketch a function with the following characteristics:
    f(0) = 1
    f'(x) is greater than or equal to 0 for x greater than -2
    f'(x) is less than 0 for x less than -2
    f'(-2) = 0
    f'(2) = 0
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  2. #2
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    Quote Originally Posted by yess View Post
    f(0) = 1
    This is just a (x,y) point so start by plotting this.


    Quote Originally Posted by yess View Post
    f'(-2) = 0
    f'(2) = 0

    These guys are stationary points, could mean your function is a cubic! Or maybe higher order if they are points of inflection.

    Quote Originally Posted by yess View Post
    f'(x) is greater than or equal to 0 for x greater than -2
    f'(x) is less than 0 for x less than -2
    These guys describe the gradient, as f'(x)>0 for x>-2 therefore f'(2) = 0 is a point of inflection.

    Enough hints?
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