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Math Help - steps to find the range of function with two variables

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    Question steps to find the range of function with two variables

    hi everyone!
    i need your opinion on how to find range of function.
    eg: f(x,y)=x2+y2-1
    thanks for all your responses!
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    Re: steps to find the range of function with two variables

    Quote Originally Posted by nursyafika View Post
    hi everyone!
    i need your opinion on how to find range of function.
    eg: f(x,y)=x2+y2-1
    thanks for all your responses!
    If we square something we know that it will always be nonegative!

    This gives

    x^2 \ge 0 and y^2 \ge 0

    So the smallest that the function can be is....

    f(x,y)=x^2+y^2-1 \ge 0+0-1=-1

    Can you finish from here?
    Thanks from nursyafika
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