Determine Where the Function $f ( x , y , z ) = \frac { x y z } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 2 }$

question 14

Short Answer

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

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Definitions:

Centration

A cognitive limitation in early child development described by Piaget, where a child can only focus on one aspect of a situation at a time.

Mentally Represent

The ability to internally hold and manipulate images, concepts, and ideas without the presence of the actual objects or situations.

Deferred Imitation

The imitation of people and events that were encountered or experienced hours, days, or weeks in the past.

A Not B Error

A phenomenon seen in infant cognitive development where babies will repeatedly search for an object where they first found it, even after seeing it moved to a new location.