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Need help with range of a two variable function

  1. Jul 20, 2008 #1
    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?
     
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  3. Jul 20, 2008 #2

    HallsofIvy

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    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?
     
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