Determine a Quadratic Function's Minimum or Maximum Value
Determine Whether $$f ( x ) = - 4 x ^ { 2 } + 4 x$$

question 60

Multiple Choice

Determine a Quadratic Function's Minimum or Maximum Value
Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
- $$f ( x ) = - 4 x ^ { 2 } + 4 x$$

• A) maximum; \(\left( \frac { 1 } { 2 } , 1 \right)\)
• B) minimum; \(\left( \frac { 1 } { 2 } , 1 \right)\)
• C) minimum; \(\left( - \frac { 1 } { 2 } , - 1 \right)\)
• D) maximum; \(\left( - \frac { 1 } { 2 } , - 1 \right)\)

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Definitions:

Cognitive Dissonance Theory

The psychological conflict resulting from incongruous beliefs and attitudes held simultaneously, leading to a state of mental discomfort that individuals strive to reduce.

Self-Serving Bias

A common tendency for people to attribute positive outcomes to their own character but attribute negative outcomes to external factors.

Fundamental Attribution Error

The tendency to overemphasize personality traits and underestimate situational influences when explaining others' behavior.

Self-Perception Theory

The hypothesis that individuals determine their attitudes and preferences by interpreting the meaning of their own behavior.