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Find the Exact Location of All the Relative and Absolute f(x)=x232x+6f ( x ) = \frac { x ^ { 2 } - 32 } { x + 6 }

question 18

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function.
f(x) =x232x+6f ( x ) = \frac { x ^ { 2 } - 32 } { x + 6 }
Select all correct answers.

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Definitions:

Hydrophilic Region

A part of a molecule that has affinity for water and can form hydrogen bonds with water molecules.

Hydrophobic Region

A part of a molecule that is repelled by water and typically soluble in nonpolar solvents.

Hydrogen Bond

A weak bond formed between a hydrogen atom in one molecule and an electronegative atom, such as oxygen or nitrogen, in another molecule, important in the structure of water and biological molecules.

Polar Covalent Bond

A type of chemical bond where a pair of electrons is unequally shared between two atoms.

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