Use a Graphing Device to Draw the Graph of the Function

question 10

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:

Zygomatic Arch

The bone that forms the prominence of the cheek; part of the skull that is under the eye and connects to the temporal bone.

Temporomandibular Joint

The joint connecting the lower jaw (mandible) to the skull, allowing for the movements necessary for chewing and speaking.

Sternocostal Synchrondrosis

The cartilaginous joint where the ribs attach to the sternum.

Costochondral Joint

The cartilaginous junction where a rib attaches to the cartilage of the sternum, allowing for movement and flexibility in the rib cage.