Determine Any Points on the Graph of the Following Function $$f ( x ) = x ^ { 2 } + 6 x - 8$$

question 64

Multiple Choice

Determine any points on the graph of the following function at which the tangent line is horizontal. $$f ( x ) = x ^ { 2 } + 6 x - 8$$

• A) \(( 3,19 )\)
• B) \(( 3,0 )\)
• C) \(( - 3,0 )\)
• D) \(( 1 , - 1 )\)
• E) \(( - 3 , - 17 )\)

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Definitions:

Energy Absorption

The process by which a material takes in energy from its surroundings, often leading to physical or chemical changes.

(E)-1,3,5-hexatriene

A linear conjugated hydrocarbon with the formula C6H8, characterized by a specific geometric configuration (E) of its carbon-carbon double bonds.

Conjugated System

A chemical structure where alternating single and multiple bonds create a system of connected π-electrons, leading to unique stability and reactivity.

UV Absorption

The process by which a substance absorbs ultraviolet light and thereby undergoes a transition from a lower to a higher energy state.