At What Points Is the Given Function Continuous?
- $$f ( x , y , z ) = \frac { 1 } { | x - 3 | + | y - 4 | + | z - 5 | }$$

question 408

Multiple Choice

At what points is the given function continuous?
- $$f ( x , y , z ) = \frac { 1 } { | x - 3 | + | y - 4 | + | z - 5 | }$$

• A) All \(( x , y , z ) \neq ( 3,4,5 )\)
• B) All \(( x , y , z )\)
• C) All \(( x , y , z ) \neq ( 0,0,0 )\)
• D) All \(( x , y , z ) \neq \pm ( 3,4,5 )\)

---

Definitions:

Intangibles

Non-physical assets such as patents, copyrights, brand recognition, and goodwill that have value but are not physical objects.

Merchandise Trade Balance

The difference between a country's imports and exports of goods.

Tangible Products

Physical items that can be touched, seen, and usually measured, such as books, furniture, and food items.

Finance

The management of large amounts of money, especially by governments or large companies.