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Math Help - Plotting Functions

  1. #1
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    Plotting Functions

    Thank you to all who answered my last thread. This will be my last question of the night. Once again, I am having trouble with the steps here.

    It's asking me to plot the functions:

    f(X)=x^2+2x-3 for -4 [lesser or equal to sign]x[lesser or equal to sign]2


    I know how to plot once I get the points, but I just need help getting the points. :/

    Thanks!
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  2. #2
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    Re: Plotting Functions

    You can just plot f(x)=x^2+2x-3 = (x+3)(x-1) and discard the function outside the given interval.
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  3. #3
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    Re: Plotting Functions

    Quote Originally Posted by annon25 View Post
    Thank you to all who answered my last thread. This will be my last question of the night. Once again, I am having trouble with the steps here.

    It's asking me to plot the functions:

    f(X)=x^2+2x-3 for -4 [lesser or equal to sign]x[lesser or equal to sign]2


    I know how to plot once I get the points, but I just need help getting the points. :/

    Thanks!
    In order to plot function you have to find zero's and point of local minimum :

    a) to find zero's you have to solve following :

    x_{1,2}=\frac{-2 \pm \sqrt {4+12}}{2}

    b) to find point of local minimum you have to solve following :

    f'(x)=0 \Rightarrow f'(x)=2x_{min}+2=0 and

    y_{min}=x_{min}^2+2x_{min}-3
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