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 $x y$ -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 $x y$ -plane

Quizplus · Accepted Answer

The function $f(x, y) = e^{x - y^2}$ involves an exponential function, which is defined for all real numbers. Since $x - y^2$ can take any real value without restrictions, the domain of $f$ includes all points in the $xy$-plane.

Find the Domain of the Function f(x,y)=ex−y2f ( x , y ) = e ^ { x - y ^ { 2 } }f(x,y)=ex−y2

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