Activity 11.2.2

Avg difficulty 2.5

Identify the domain and range of each of the following functions. Sketch each domain in the $xy$ -plane.

$f(x,y) = x^2+y^2$
$f(x,y) = \sqrt{x^2+y^2}$
$\displaystyle Q(x,y) = \frac{x+y}{x^2-y^2}$
$\displaystyle s(x,y) = \frac{1}{\sqrt{1-xy^2}}$

Long, Keller & Schlicker, Active Calculus Multivariable, §11.2 Functions of Several Variables, Activity 11.2.2

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.