Use a Graphing Calculator to Determine All Local Maxima And/or $y=2 x^{3}-5 x^{2}-4 x$

question 43

Essay

Use a graphing calculator to determine all local maxima and/or minima for the function $y=2 x^{3}-5 x^{2}-4 x$ Give the values where the extremum occur to two decimal places.

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Definitions:

Magma Chamber

An underground pool of liquid rock found beneath the surface of the Earth.

Asteroid Impact

The collision of an asteroid with another body, such as the Earth, often causing significant geological and environmental changes.

Sinkhole

A closed, circular depression, usually in a karst area, resulting from the collapse of an underlying cave.

Welded Tuff

A type of rock formed from volcanic ash that has been sufficiently heated to weld together.