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Find and Sketch the Domain of a Function

  1. Feb 15, 2016 #1
    1. The problem statement, all variables and given/known data
    ƒ(x,y) = √y + √[25-x2-y2]

    2. Relevant equations
    Quadratic

    3. The attempt at a solution
    The expression for f(x,y) is defined as long as x2 + y2 ≥ 25 and y ≥ 0 because of the square roots we can't have negative numbers. {(x,y) ∈ ℝ2 : y ≥ 0 and x2 + y2 ≥ 25} I'm not sure how I'd represent it graphically.
     
  2. jcsd
  3. Feb 15, 2016 #2

    andrewkirk

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    What is the shape of the region of the number plane that satisfies ##x^2+y^2\leq 25##?
    What is the shape of the region of the number plane that satisfies ##y\geq 0##?
    What is the shape of the intersection of those two regions?
     
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