Question: A linear function f ( x , y ) = a x + b y + c has n o critical points. Therefore, the global

A linear function f(x,y)=ax+by+c has no critical points. Therefore, the global minimum and maximum values off(x,y)
on a closed and bounded domain must occur on the boundary of the domain. Furthermore, it can be easily seen that if the
domain is a polygon, then the global minimum and maximum values off must occur at a vertex of the polygon.
Find the global minimum and maximum values off(x,y)=4x-6y-2on the domain where |x|+|y|5.
(Give your answers as a whole numbers.)
global minimum: |
global maximur
A linear function f ( x , y ) = a x + b y + c has

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