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Given the Graph of Y = F (X), Answer the Following

question 51

Essay

Given the graph of y = f (x), answer the following questions.  Given the graph of y = f (x), answer the following questions.   Find all values of x at which (a)  f ^ { \prime } ( x ) > 0  (b)  f ^ { \prime } ( x ) < 0  (c)  f ^ { \prime } ( x ) = 0  (d) f is increasing.(e) f is decreasing.(f)  f ^ { \prime \prime } ( x ) > 0  (g)  f ^ { \prime \prime } ( x ) < 0  (h) f has an inflection point.(i)  f ^ { \prime } \text { is increasing. }  (j)  f ^ { \prime } \text { is decreasing. } Find all values of x at which
(a) f(x)>0f ^ { \prime } ( x ) > 0 (b) f(x)<0f ^ { \prime } ( x ) < 0 (c) f(x)=0f ^ { \prime } ( x ) = 0 (d) f is increasing.(e) f is decreasing.(f) f(x)>0f ^ { \prime \prime } ( x ) > 0 (g) f(x)<0f ^ { \prime \prime } ( x ) < 0 (h) f has an inflection point.(i) f is increasing. f ^ { \prime } \text { is increasing. } (j) f is decreasing. f ^ { \prime } \text { is decreasing. }


Definitions:

Organic Fertilizer

A type of fertilizer made from natural organic materials, such as compost, manure, or bone meal, which enriches soil fertility without the use of synthetic chemicals.

Manufacturer

A person or company that makes goods for sale through the process of combining raw materials and components.

Net Operating Income

The profit generated from a company's regular business operations, excluding expenses and revenues from non-operating activities.

Monthly Sales

Monthly sales represent the total revenue or units sold by a business within a calendar month, often used to gauge performance and trends.

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