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:

Complementary

Elements, items, or substances that, when brought together, enhance each other's properties or complete something.

DNA

Deoxyribonucleic acid, a molecule that carries the genetic instructions used in the growth, development, functioning, and reproduction of all known living organisms and many viruses.

Codon

A sequence of three nucleotides in messenger RNA that specifies the addition of a particular amino acid in the synthesis of proteins.

Amino Acid

Organic compounds that serve as the building blocks of proteins, containing both an amino group and a carboxyl group.