Use a Graphing Device to Draw the Graph of the Function

question 32

Essay

Use a graphing device to draw the graph of the function $f ( x ) = 144 x ^ { 3 } - 144 x ^ { 2 } + 36 x$
State approximately the intervals on which the function is increasing and on which the function is decreasing.

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Definitions:

Competing Products

Goods or services offered in the market that serve similar needs or desires of consumers, often leading to a choice preference based on price, quality, or other attributes.

Technological Advance

The progress or improvement in technology, leading to more efficient processes, products, or services.

Production Process

is the series of steps or operations involved in the manufacture of goods or services.

Short-Run Adjustments

Refers to the changes firms make in response to changing market conditions in the short term when at least one production factor is fixed.