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:

Earthmoving Equipment

Earthmoving equipment consists of heavy-duty vehicles designed for construction tasks, especially ones involving earthwork operations.

U.S. GDP

The total monetary value of all goods and services produced within the United States' borders in a specific time period, often used as an indicator of economic health.

Investment

Investment entails the allocation of resources, such as capital or time, into a venture with the expectation of generating income or profit over time.

Inflation Rate

The percentage increase in the general price level of goods and services in an economy over a period of time, typically measured annually.