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Math Help - Functions.

  1. #1
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    Functions.

    Which of the following fuctions has two zeros?

    A) f(x)= |x+1|
    B) f(x)= |x|+1
    C) f(x)= -|x|-1
    D) f(x)= -|x|+1

    Do I substitute x for 0 to find this or another number?
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  2. #2
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    I like D)
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  3. #3
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    consider the concept of absolute value

    Quote Originally Posted by dnntau View Post
    Which of the following fuctions has two zeros?

    A) f(x)= |x+1|
    B) f(x)= |x|+1
    C) f(x)= -|x|-1
    D) f(x)= -|x|+1

    Do I substitute x for 0 to find this or another number?
    The answer is D.Because if you look at the graph it opens down where it intersects the x-axis twice at -1 and 1.Algebrically you consider the absolute value x as positive and you have: -x+1=0 -x=-1 and x=1 And second consideration is when absolute value x is negative and you have:
    -(-x)+1=0 x+1=0 x=-1 So you have two zeros of 1 and -1.Please send me note and let me know if you got it.
    Last edited by mr fantastic; June 2nd 2010 at 05:15 AM.
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  4. #4
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    Yeah I get it now.
    Thank you so much.
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