Find the Domain and Range of the Function $g ( z ) = \sqrt { 25 - z ^ { 2 } }$

question 243

Multiple Choice

Find the domain and range of the function.
- $g ( z ) = \sqrt { 25 - z ^ { 2 } }$

• A) D: (-5,5), R: (-5,5)
• B)\(\text { D: } [ 0 , \infty ) , \text { R: } ( - \infty , \infty )\)
• C) D: [-5,5], R: [0,5]
• D)\(\text { D: } ( - \infty , \infty ) , R : ( 0,5 )\)

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Definitions:

Commission

A fee paid to an employee or agent for facilitating a sale or transaction, usually calculated as a percentage of the sale price.

Transaction

An instance of buying or selling, or the exchange of goods, services, or funds.

Range

The difference between the highest and lowest values in a set of numbers.

Domain

In mathematics, it is the set of all possible input values for a function; in computing, it refers to a distinct subset of the Internet under the control of a specific organization or individual.