## Function

f(x,y) = p

## Domain

xandyare elements of the set of allReal numbers

## Graphs

## Derivative

With respect tox:0

With respect toy:0Critical points are formed where the two derivatives equal 0. These critical points may be minimums, maximums, or saddle points. In the first graph, for

x, 0 = 0 for allxvalues. Fory, 0 = 0 for allyvalues. From the graph, it shows that all points in thexyplane form high and low points since it is a flat plane.

## Integral

With respect tox:px

With respect toy:py

## Interesting Features

This function is a plane that has a constant value for

zfor allxandyvalues. This plane is at the height ofp, which can be used to raise or lower this plane. Ifpis 0, thexyplane is returned.

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