1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Range of 2 variable function

  1. Aug 25, 2011 #1
    1. The problem statement, all variables and given/known data
    In this example, the range is stated to be z=[0,3].
    It shows 9-x^2-y^2<=9 which implies sqrt(9-x^2-y^2)<=3
    But why don't we consider -3 as well?

    Thanks
     
  2. jcsd
  3. Aug 25, 2011 #2

    I like Serena

    User Avatar
    Homework Helper

    Welcome to PF, davidp92! :smile:

    Actually the range of the function f given by f(x,y)=9-x2-y2 is (∞, 9].
    So I have to assume that you're talking about a different function.

    Presumably you intended f(x,y)=√(9-x2-y2) which indeed has a range of [0,3].
    Note that the square root function is defined as a function that always results in a non-negative number.
     
  4. Aug 25, 2011 #3

    Mark44

    Staff: Mentor

    I think you mean (-∞, 9].

     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Range of 2 variable function
Loading...