Find two functions defined implicitly by the given relation.
-$$x ^ { 2 } - y ^ { 2 } = 100$$
A) $y = \sqrt { x ^ { 2 } - 100 }$ or $y = \sqrt { x ^ { 2 } + 100 }$
B) $y = + ( x - \sqrt { 100 } )$ or $y = - ( x - \sqrt { 100 } )$
C) $y = + \sqrt { x ^ { 2 } - 100 }$ or $y = - \sqrt { x ^ { 2 } - 100 }$
D) $y = x - \sqrt { 100 }$ or $y = x + \sqrt { 100 }$

Question

Quizplus · Accepted Answer

Solving the given equation for $y$ yields $y = \pm \sqrt{x^2 - 100}$, which represents two functions: one for the positive square root and one for the negative square root.

Find Two Functions Defined Implicitly by the Given Relation x2−y2=100x ^ { 2 } - y ^ { 2 } = 100x2−y2=100

Find Two Functions Defined Implicitly by the Given Relation $x ^ { 2 } - y ^ { 2 } = 100$