Determine Whether the Given Quadratic Function Has a Minimum Value $$f ( x ) = 4 x ^ { 2 } - 12 x$$

question 55

Multiple Choice

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.
- $$f ( x ) = 4 x ^ { 2 } - 12 x$$

• A) minimum; \(\left( - \frac { 3 } { 2 } , - 9 \right)\)
• B) maximum; \(\left( \frac { 3 } { 2 } , - 9 \right)\)
• C) minimum; \(\left( \frac { 3 } { 2 } , - 9 \right)\)
• D) maximum; \(\left( - \frac { 3 } { 2 } , - 9 \right)\)

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Definitions:

Over-fishing

The practice of catching fish at a rate faster than they can reproduce, leading to a decline in fish populations.

Fish Population

Refers to the number of fish within a specific ecosystem or area, often considered in terms of species diversity and biomass.

Cetacean

Refers to a group of marine mammals that include whales, dolphins, and porpoises, characterized by their fully aquatic lifestyle and large brain size.

Porpoise

A small cetacean of the family Phocoenidae, similar in appearance to a dolphin but with a shorter, rounded snout.