Find the Linearization L(x) of F(x) at X = A $f ( x ) = 2 x ^ { 2 } - 2 x + 1 , a = 1$

question 349

Multiple Choice

Find the linearization L(x) of f(x) at x = a.
- $f ( x ) = 2 x ^ { 2 } - 2 x + 1 , a = 1$

• A) \(L ( x ) = 2 x + 3\)
• B) \(L ( x ) = 6 x + 3\)
• C) \(\mathrm { L } ( \mathrm { x } ) = 6 \mathrm { x } - 1\)
• D) \(\mathrm { L } ( \mathrm { x } ) = 2 \mathrm { x } - 1\)

---

Definitions:

Gross Profit Margin

A financial metric that shows the percentage of revenue that exceeds the cost of goods sold, indicating the efficiency of a company in managing its production costs.

Operating Expenses

Costs incurred through normal business operations, such as rent, utilities, and payroll, that are not directly tied to production.

Periodic Inventory System

A system where inventory levels and cost of goods sold are determined at the end of the accounting period, rather than continuously.

Double Entry Accounting

An accounting system that maintains the balance of the accounting equation (Assets = Liabilities + Equity) by recording each transaction twice, once as a debit and once as a credit.