Determine All Critical Points for the Function $$y = 4 x ^ { 2 } - 128 \sqrt { x }$$

question 85

Multiple Choice

Determine all critical points for the function.
- $$y = 4 x ^ { 2 } - 128 \sqrt { x }$$

• A) \(x = 0\)
• B) \(x = 4\)
• C) \(x = 0\) and \(x = 4\)
• D) \(x = 0 , x = 4\), and \(x = - 4\)

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Definitions:

PI

An irrational number approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter. If intended as "Profitability Index," then it is a financial metric used to assess the attractiveness of an investment's potential return compared to its cost.

Financial Basis

Refers to the underlying support or foundation for an economic claim or accounting method, often related to how financial statements are prepared.

Cash Basis

An accounting method in which revenues and expenses are recorded only when cash is received or paid out.

Zero NPV

A situation where the net present value of a project or investment equals zero, indicating that the expected cash flows exactly discount the initial investment, resulting in no net gain or loss.