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

question 373

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.
- $$f ( x ) = 4 x ^ { 2 } + 2 x + 2$$

• A) minimum; \(\left( - \frac { 1 } { 4 } , \frac { 7 } { 4 } \right)\)
• B) maximum; \(\left( - \frac { 1 } { 4 } , \frac { 7 } { 4 } \right)\)
• C) minimum; \(\left( \frac { 7 } { 4 } , - \frac { 1 } { 4 } \right)\)
• D) maximum; \(\left( \frac { 7 } { 4 } , - \frac { 1 } { 4 } \right)\)

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Definitions:

Moral Dilemmas

Situations in which a person must choose between two or more conflicting moral principles or actions, leading to ethical consideration and decision-making challenges.

Preconventional Level

The first level of Kohlberg's stages of moral development, where moral reasoning is based on external rewards and punishments.

Kohlberg's Moral Development

A theory proposed by Lawrence Kohlberg that suggests human moral development progresses through a series of stages, from basic, pre-conventional morality to advanced, principled thinking.

Preconventional Level

The first level of Kohlberg's stages of moral development, where morality is externally controlled and rules are obeyed to avoid punishment or gain rewards.