At What Points Is the Given Function Continuous?
- $$f ( x , y , z ) = \frac { z } { x ^ { 2 } + y ^ { 2 } - 5 }$$

question 141

Multiple Choice

At what points is the given function continuous?
- $$f ( x , y , z ) = \frac { z } { x ^ { 2 } + y ^ { 2 } - 5 }$$

• A) All \(( x , y , z )\) such that \(x ^ { 2 } + y ^ { 2 } \neq 0\)
• B) All \(( x , y , z )\) such that \(x ^ { 2 } + y ^ { 2 } \neq 5\)
• C) All \(( x , y , z )\)
• D) All \(( x , y , z )\) such that \(x ^ { 2 } + y ^ { 2 } \neq 25\)

---

Definitions:

Purchasing power

The value of a currency expressed in terms of the amount of goods or services that one unit of money can buy.

Compounded monthly

A method where interest is calculated on the principal and any accumulated interest each month, effectively increasing the amount on which future interest is earned.

Deferral period

A span of time during which payments, obligations, or other actions are postponed or delayed.

Compounded quarterly

The process of calculating interest on both the initial principal and the accumulated interest from previous periods, applied every three months.