Provide an Appropriate Response $\mathrm { f } ( \mathrm { x } ) = \mathrm { a } ^ { \mathrm { x } }$

question 433

Multiple Choice

Provide an appropriate response.
-Give an equation of the form $\mathrm { f } ( \mathrm { x } ) = \mathrm { a } ^ { \mathrm { x } }$ to define the exponential function whose graph contains the point ( 2,9 $)$ . Assume that $a > 0$ .

• A) \(f ( x ) = 3 ^ { x }\)
• B) \(f ( x ) = 27 ^ { x }\)
• C) \(f ( x ) = 6 ^ { x }\)
• D) \(f ( x ) = 8 ^ { x }\)

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Definitions:

Happy Face

An expression on a person's face that indicates joy, happiness, or amusement.

Physiological Arousal

The body's physical response to stimuli, involving increased heart rate, blood pressure, and energy levels, often as part of the fight or flight response.

Basic Emotions

Fundamental emotions that are universally expressed and recognized across human cultures, such as happiness, sadness, fear, disgust, anger, and surprise.

Facial Expressions

Visible changes in the facial muscles that convey an individual's emotional state to others.