Find a Cubic Function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$

question 28

Short Answer

Find a cubic function $f ( x ) = a x ^ { 3 } - b x ^ { 2 } + c x - d$ that has a local maximum value of 112 at 1 and a local minimum value of $- 1,184$ at 7 .

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Definitions:

Leisure Activity

Any freely chosen activity or experience that takes place in non-work time for relaxation, diversion, or pleasure.

Mortality

The state of being subject to death or the incidence of death within a population.

Cardiovascular Disease

A general term for conditions affecting the heart or blood vessels, often leading to heart attacks or strokes.

CVD

Cardiovascular Disease, referring to conditions involving narrowed or blocked blood vessels that can lead to heart attack, chest pain, or stroke.