Determine Where the Graph Of $f ( x ) = \ln | x - 4 |$

question 72

Short Answer

Determine where the graph of $f ( x ) = \ln | x - 4 |$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

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Definitions:

Income

Income refers to the financial earnings someone acquires regularly either from performing work or making investments.

Optimal Consumption Bundle

A combination of goods and services that maximizes a consumer's satisfaction or utility, given their income and the prices of goods and services.

Normal Good

A type of good for which demand increases as consumers' income increases, and vice versa.

Inferior Good

A category of product whose demand falls when the income levels of buyers rise, in opposition to normal goods.