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Math Help - function graph

  1. #1
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    function graph

    f(x)=lxl+lx-1l
    is it right to convert it to
    f(x)=l2x-1l
    is that right or wroung i know it is a stupid question but i really need an answer to it
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  2. #2
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    Quote Originally Posted by mohamedsafy View Post
    f(x)=lxl+lx-1l
    is it right to convert it to
    f(x)=l2x-1l
    is that right or wroung i know it is a stupid question but i really need an answer to it
    No. They are different on the interval (0,1). If you substitute say x = \frac{1}{2} in each, the answers will be different
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  3. #3
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    Quote Originally Posted by danny arrigo View Post
    No. They are different on the interval (0,1). If you substitute say x = \frac{1}{2} in each, the answers will be different
    are you sure cause if i subtitute in the first one with 1/2 the answer will be 0 and if i subtitute in the second one with 1/2 the answerwill be 0
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  4. #4
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    Quote Originally Posted by mohamedsafy View Post
    f(x)=lxl+lx-1l
    is it right to convert it to
    f(x)=l2x-1l
    is that right or wroung i know it is a stupid question but i really need an answer to it
    Use the definition of the absoluet value. You'll get three intervals with different terms:

    |x|+|x-1| = \left\{\begin{array}{ll}-2x+1 & if\  x<0\\1& if\  0\leq x<1 \\ 2x-1& if\  x\geq 1\end{array}\right.
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  5. #5
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    Quote Originally Posted by mohamedsafy View Post
    are you sure cause if i subtitute in the first one with 1/2 the answer will be 0 and if i subtitute in the second one with 1/2 the answerwill be 0
    |\frac{1}{2}| + | \frac{1}{2} - 1 | = |\frac{1}{2}| + | -\frac{1}{2} | = |\frac{1}{2}| + | \frac{1}{2} | = 1
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