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.
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.