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esmeco
Jul20-08, 10:03 AM
1. The problem statement, all variables and given/known data

Given z=f(x,y),where f(x,y) is - say- f(x,y)=x^2-2y+4 how would I go about finding the range of the function like it was done for f(x)=y,when f(x)=x^2-1 ,for example,we would put x^2-1=y and solve for x?

HallsofIvy
Jul20-08, 01:31 PM
No, the range of f(x,y) is the set of possible values of f no matter what x and y are. Suppose y= 0. What are the possible values of f(x,0)= x2- 1? Suppose x= 0. What are the possible values of f(0,y)= -y- 1?