Given $f ( x ) = x ^ { 2 } + 6 x$

question 42

Multiple Choice

Given $f ( x ) = x ^ { 2 } + 6 x$ .
(a) Find the intervals on which $f$ is increasing or decreasing.
(b) Find the relative maxima and relative minima of $f$ .

• A) (a) Increasing on \(( - 3 , \infty )\),
• decreasing on \(( - \infty , - 3 )\)
• (b) Rel. min. \(f ( - 3 ) = - 9\)
• B) (a) Increasing on \(( - \infty , - 3 )\),
• decreasing on \(( - 3 , \infty )\)
• (b) Rel. max. \(f ( - 3 ) = - 9\)
• C) (a) Increasing on \(( - 6 , \infty )\),
• decreasing on \(( - \infty , - 6 )\)
• (b) Rel. min. \(f ( - 6 ) = 0\)
• D) (a) Increasing on \(( - \infty , - 6 )\),
• decreasing on \(( - 6 , \infty )\)
• (b) Rel. max. \(f ( - 6 ) = 0\)

---

Definitions:

MRP Manufacturing

A planning and inventory control system used to manage manufacturing processes, ensuring materials are available for production and products are available for delivery.

Net Requirements

Calculations that determine the actual amount of materials or resources needed for production, taking into account current inventory and scheduled receipts.

Gross Requirements

The total demand for a component or raw material before considering inventory on hand or scheduled receipts.

Product A

A placeholder name for a specific item or good produced by a company.