Determine the Maximum Possible Number of Turning Points for the Graph

question 47

Multiple Choice

Determine the maximum possible number of turning points for the graph of the function.
- $$f ( x ) = 5 x ^ { 8 } - 8 x ^ { 7 } - 9 x - 25$$

• A) 8
• B) 5
• C) 0
• D) 7

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Definitions:

Myth of the Cave

An allegory presented by Plato, depicting a group of people who have lived chained to the wall of a cave all of their lives, facing a blank wall, unable to see the reality behind them.

Physical Things

Physical Things refer to objects or entities that exist in the material world and can be perceived by the senses.

Real Directly

The concept of perceiving or understanding something as it truly is, without mediation or interpretation.

Plato's Metaphysics

The branch of philosophy in Plato's works that studies the nature of reality, including the theory of Forms, where abstract forms or ideas possess the highest and most fundamental kind of reality.