Use a Graphing Utility to Graph the Function Over the Indicated

question 82

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. If necessary, round answers to two decimal places.
- $$f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 ; ( - 5,5 )$$

• A) local minimum at \(( 2 , - 3 )\)
• B) local maximum at \(( 0,1 )\) local minimum at \(( 2 , - 3 )\)
• C) local minimum at \(( 0,1 )\)
• D) none
• local maximum at \(( 2 , - 3 )\)

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Definitions:

Gracile Australopithecines

Refers to a group of early human ancestors characterized by a relatively lighter build, particularly in the skull and teeth.

Robust Australopithecines

Several species within the genus Australopithecus who lived from 1.1 to 2.5 million years ago in eastern and southern Africa; known for the rugged nature of their chewing apparatus (large back teeth, large chewing muscles, and bony ridge on their skull tops for the insertion of these large muscles).

Australopithecine Fossils

Prehistoric remains of hominid species, belonging to the genus Australopithecus, that are among the earliest known human ancestors.