7. Function of multiple variables

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11 Terms

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definition of function with n variables

a rule that assigns every input to a unique output

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where is the domain of a function with n variables

everywhere the inputs exist

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plane

flat surface in 3D

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what does a graph consist of

all points (x, y, f(x,y)) in the domain of f

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surface

3D graph of f

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where does a surface exist

domain of f

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saddle point

peak in one direction and valley in other direction

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paraboloid

surface with a saddle point

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<p>consider the following</p>

consider the following

okay

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conditions when (x,y) is not in the domain of f

  1. divide by 0

  2. odd root or non-int power of a negative number

  3. log(x) when x <= 0

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how to write domain

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