$\text { Determine where the function } f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 } \text { is continuous. }$

question 21

Short Answer

$\text { Determine where the function } f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 } \text { is continuous. }$

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Definitions:

Paid Job

Work performed in exchange for monetary compensation, typically formal employment but also including freelance and contractual work.

Abusive Partners

Individuals in a relationship who engage in behaviors that inflict physical, emotional, or sexual harm on their significant other.

Loving Contrition

Sincere remorse or guilt for wrongdoings motivated by love and the desire for reconciliation, though not a widely recognized term.

Intimate Partner Violence

Violence or aggression that occurs within a romantic relationship, encompassing physical, sexual, emotional abuse, and stalking behaviors by a current or former partner or spouse.