Chapter 12.1, Exercise 7
Give the domain and range of the multivariable function:
\[f(x,y)=x^2+y^2+2\]
\[0≤x^2+y^2+2\]
\[−2≤x^2+y^2\]
\[x^2+y^2≥−2\]
\[D:{(x,y):x^2+y^2≥−2}\]
\[Domain: D:{(x,y):x^2+y^2≥−2}\]
\[f(0,0):0^2+0^2+2\]
\[f(0,0):0+0+2\]
\[f(0,0):2\]
\[R:{(x,y):[2,∞]}\]
\[Range: R:{(x,y):[2,∞]}\]