Find the domain of the function f(x, y) = $\sqrt { x - y ^ { 2 } }$ .
A)All points on or to the left of $x = y ^ { 2 }$ e.All points on or to the left of x = 0
B)All points on or to the right of $x = y ^ { 2 }$ f.All points on or to the right of x = 0
C)All points to the left of $x = y ^ { 2 }$ g.All points to the left of x = 0
D)All points to the right of $x = y ^ { 2 }$ h.All points in the xy-plane

Question

Quizplus · Accepted Answer

The square root function requires its argument to be non-negative, so $x - y^2 \geq 0$, which simplifies to $x \geq y^2$. This means the domain includes all points on or to the right of the parabola $x = y^2$.

Find the Domain of the Function F(x, Y) = x−y2\sqrt { x - y ^ { 2 } }x−y2​

Find the Domain of the Function F(x, Y) = $\sqrt { x - y ^ { 2 } }$