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Math Help - Describe IN WORDS the surface z=4-abs(x)-abs(y)

  1. #1
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    Describe IN WORDS the surface z=4-abs(x)-abs(y)

    I am having trouble describing in words the surface created by the function z = 4 - abs(x) - abs(y).

    I know exactly what it look likes. It is plane with a high point at (0,0,4), with "creases" along the x = 0 and y = 0.

    Can anyone suggest the correct "mathematical defintion" of the surface? I dont think "creases" is exactly the mathematical term they wish me to use.

    Many thanks for any help.
    Tammy
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Describe IN WORDS the surface z=4-abs(x)-abs(y)

    Hi tammyl!

    Description 1: The surface consists of 4 symmetrically placed planes that intersect at the high point (0,0,4) where it is bounded.

    Description 2: It's a pyramid without a bottom.
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