Find the Exact Location of All Relative and Absolute Extrema $f ( x ) = 8 x ^ { 2 } + 48 x + 9$

question 34

Essay

Find the exact location of all relative and absolute extrema of the function $f ( x ) = 8 x ^ { 2 } + 48 x + 9$ with domain $[ - 9,9 ]$ .

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Definitions:

Consistent

A property of a set of statements that allows them all to be true at the same time without contradiction.

Contingency

A forthcoming incident or situation which may occur but its certainty cannot be ascertained.

Conditional Statement

A statement in logic that involves an if-then structure, asserting that if one thing is true, then another will follow.

Contradictory

Describing propositions, beliefs, or statements that are mutually opposed or inconsistent, such that if one is true, the other must be false.