Use the Function Below and Its Derivative to Determine Any $f$

question 2

Multiple Choice

Use the function below and its derivative to determine any points on the graph of $f$ at which the tangent line is horizontal.
$$f ( x ) = - 2 x ^ { 4 } + 4 x ^ { 2 } , \quad f ^ { \prime } ( x ) = - 8 x ^ { 3 } + 8 x$$

• A) \(( - 1,2 ) , ( 0,0 ) , ( 1,2 )\)
• B) \(( - 1 , - 2 ) , ( 1 , - 8 )\)
• C) \(( - 1,2 ) , ( 1,2 )\)
• D) \(( 0,0 ) , ( 1,0 )\)
• E) \(( 0,0 ) , ( 1,2 )\)

---

Definitions:

Capital Accounts

Financial records that track the equity and investment contributions of owners or shareholders in a company.

Noncash Assets

Assets that are not in the form of cash or cash equivalents, including property, equipment, and intellectual property.

Net Income and Losses

The difference between total revenues and total expenses, indicating the financial performance of a company over a specific period.

Sale

A transaction between two parties where the ownership of goods, services, or assets is transferred from the seller to the buyer for an agreed amount of money or value.