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

Question

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

Quizplus · Accepted Answer

The function $f(x, y) = e^{x - y^2}$ involves an exponential function of $x - y^2$, which is defined for all real numbers. Therefore, there are no restrictions on the values that $x$ and $y$ can take, meaning the domain includes all points in the xy-plane.

Find the Domain of the Function F(x, Y) = ex−y2e ^ { x - y ^ { 2 } }ex−y2

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