Solve the Problem $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \sqrt { \mathrm { y } ^ { 2 } - 16 }$

question 105

Multiple Choice

Solve the problem.
-Find an equation for the level curve of the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \sqrt { \mathrm { y } ^ { 2 } - 16 }$ that passes through the point $( 0,4 )$ .

• A) \(y = 4\)
• B) \(y = - 16\)
• C) \(y = 16\)
• D) \(\mathrm { y } = \pm 4\)

---

Definitions:

Optimal Decisions

Choices made that are the most advantageous or beneficial given the current situation or data.

Multiple Options

Refers to situations or questions that offer more than one possible answer or choice.

Outcomes Of Decisions

The consequences or results that follow from the choices individuals make.

Utility Theory

An economic theory that describes how individuals make choices based on their perceived satisfaction or utility from outcomes, aiming to maximize pleasure and minimize pain.