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definition of function with n variables
a rule that assigns every input to a unique output
where is the domain of a function with n variables
everywhere the inputs exist
plane
flat surface in 3D
what does a graph consist of
all points (x, y, f(x,y)) in the domain of f
surface
3D graph of f
where does a surface exist
domain of f
saddle point
peak in one direction and valley in other direction
paraboloid
surface with a saddle point
consider the following
okay
conditions when (x,y) is not in the domain of f
divide by 0
odd root or non-int power of a negative number
log(x) when x <= 0
how to write domain