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; \(\left( - \frac { 3 } { 2 } , - 9 \right)\)

Understand the concept of adverse selection and its significance in the insurance industry.

Describe mechanisms that insurance companies use to mitigate adverse selection.

Calculate expected wealth and loss under different insurance policy scenarios.

Evaluate the impact of risk behavior on insurance decisions and premiums.

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Definitions:

Egg Yolks

The yellow, nutrient-rich part of an egg that contains fats, proteins, vitamins, and minerals, serving as a primary food source for the developing embryo.

Fortified Breads

Breads that have been enriched with additional vitamins and minerals, beyond what they naturally contain.

Selenium

A chemical element with symbol Se and atomic number 34, known for its role in human health as a trace mineral important for the antioxidant activity of certain enzymes.