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Math Help - Functions of absolute value.

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    Functions of absolute value.

    Never encountered these with |stuff| in it, not sure how to approach it? Sketch the following.....
    Attached Thumbnails Attached Thumbnails Functions of absolute value.-new2.jpg  
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    Is it just me? But I have no idea what that question is about.
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    Quote Originally Posted by Plato View Post
    Is it just me? But I have no idea what that question is about.
    I think the question is asking how to graph those functions.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by bobchiba View Post
    Never encountered these with |stuff| in it, not sure how to approach it? Sketch the following.....
    |x| is the absolute value function. It is defined as:

    |x| = {x for x >= 0} and {-x for x < 0}

    The graph of it is what you provided below. Until you gain a certain amount of utility in graphing it I recommend graphing these point by point to get used to it.

    -Dan
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by bobchiba View Post
    Never encountered these with |stuff| in it, not sure how to approach it? Sketch the following.....
    use transformations.

    the picture you have there is the graph of |x|.

    for y = |x - 2|+1 you will shift that graph 1 unit up and 2 units to the right

    is the second question |-x| or -|x|?

    if it's |-x| it will be exactly the same as |x| the original graph.

    if it's -|x|, you would just turn it upside down (that is, reflect it in the x-axis)

    again, i'm just applying basic transformation rules, do you know them?


    i would recommend drawing them point by point as topsquark says as well, jsut to get used to the concept of absolute value
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