Consider the function fxyzx2y2x3z2 Its graph is in Ra where

Consider the function f(x,y,z)=(x²y²,x+3z²).

It\'s graph is in R^a where a = _____

It\'s image is in R^b where b = _____

It\'s level sets are in R^c where c  = ____

This is all I am given:

Prev Up Next pt) Consider the function fa, y, z) (x2 y2,x 3z2 Its graph is in Ra where a ts image is in Rb where b Its level sets are in RC where C Note: You can earn partial credit on this problem

Solution

It\'s graph lies in R^{3., a equal to 3}

^{image lies in R2 by definition.}

^{image level sets lie in R2}