Chapter 11, Problem 1PE

(a)

To determine

To define:the function of two variables.

Explanation of Solution

Function of two variables is a function whose inputs are points $\left(x,y\right)$ in the $xy$ plane and whose outputs are real numbers. For example,

  $f\left(x,y\right)=x^2+y^2$

(b)

To determine

To define:thedomain and range of function of two variables.

Explanation of Solution

The domain of function of two variables has to contain the value of the variables that make the function to exist.

The set of all output values of a function of two variables is called range of that function of two variables.