Domain, Range, and Level Curves In Exercises 1–12, (a) Find the function's domain (b) Find the function's range (c) Describe the function's level curves (d) Find the boundary of the function's domain (e) Determine if the domain is an open region, a closed regi or neither (f) Decide if the domain is bounded or unbounded. 1. f(x, y) = y –X 3. f(x, y) = 4x² + 9y? 5. f(x, y) = xy 2. f(x, y) = Vy - x 4. f(x, y) = x² – y² %3D 6. f(x, y) = y/x? 1 7. f(x, y) = 8. f(x, y) = V9 – x² – y= %3D V16 - x - y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
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Domain, Range, and Level Curves
In Exercises 1–12,
(a) Find the function's domain
(b) Find the function's range
(c) Describe the function's level curves
(d) Find the boundary of the function's domain
(e) Determine if the domain is an open region, a closed regie
or neither
(f) Decide if the domain is bounded or unbounded.
1. f(x, y) = y- x
2. f(x, y) = Vy – x
(3. f(x, y) = 4x² + 9y?
5. f(x, y) = xy
4. f(x, y) = x² – y?
6. f(x, y) = y/x²
1
7. f(x, y)
8. f(x, y) = V9 – x² – y²
=
V16 - x - y'
9. f(x, y) = In (x + y²)
10. f(x, y) = e-G+y³)
(11.) f(x, y) = sin '(y -x)
12. f(x, y) = tan
%3D
Transcribed Image Text:Domain, Range, and Level Curves In Exercises 1–12, (a) Find the function's domain (b) Find the function's range (c) Describe the function's level curves (d) Find the boundary of the function's domain (e) Determine if the domain is an open region, a closed regie or neither (f) Decide if the domain is bounded or unbounded. 1. f(x, y) = y- x 2. f(x, y) = Vy – x (3. f(x, y) = 4x² + 9y? 5. f(x, y) = xy 4. f(x, y) = x² – y? 6. f(x, y) = y/x² 1 7. f(x, y) 8. f(x, y) = V9 – x² – y² = V16 - x - y' 9. f(x, y) = In (x + y²) 10. f(x, y) = e-G+y³) (11.) f(x, y) = sin '(y -x) 12. f(x, y) = tan %3D
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