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9 Cards in this Set

  • Front
  • Back

Scalar-valued functions

If the transformation of F falls into R¹

Vector-valued function

If the transformation of F falls into R² or higher dimensions

How to write a graph using symbols

Graph f = {(x₁,...,xn, f(x₁,...,xn)) ∈Rⁿ⁺¹|(x₁,...,xn) ∈U}

Level set

A subset of R³ on which f is constant

Level curves/contours

A level set for functions of two variables

Level set of value c

All values at which f(x) =c

Level surface

A level set for 3 variables

Paraboloid of revolution

Fancy word for circle

Section of a graph

The intersection of the graph and a vertical plain