for the given function f(x,y) = sin(3-x-3y+xy) a) whats the range and domain for f(x,y) b) factor the sin function and does this form show ideas as to what the appearance of z=f(x,y) is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
Question

for the given function f(x,y) = sin(3-x-3y+xy)

a) whats the range and domain for f(x,y)

b) factor the sin function and does this form show ideas as to what the appearance of z=f(x,y) is

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Follow-up Question

determine the cross-sections of x relationship by letting x = k (k is an element of the reals) to then



find the relationships for k = 0-6
for the relationships of k = 3-6 sketch them on the interval y is an element of [1-pi, 1+pi]
describe the relationships of k=0-2 as opposed to k=3-6

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