For the Given Functions F and G, Find the Requested $$f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 5 x ^ { 2 } + 2$$

question 239

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 2 x ^ { 3 } - 1 ; g ( x ) = 5 x ^ { 2 } + 2$$
Find $f \cdot g$ .

• A) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 10 \mathrm { x } ^ { 5 } + 4 \mathrm { x } ^ { 3 } - 5 \mathrm { x } ^ { 2 } - 2\); all real numbers
• B) \(( f \cdot g ) ( x ) = 10 x ^ { 6 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 2\); all real numbers
• C) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 2 \mathrm { x } ^ { 3 } + 5 \mathrm { x } ^ { 2 } - 2 ;\) all real numbers
• D) \(( f \cdot g ) ( x ) = 10 x ^ { 5 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 2 ; \{ x \mid x \neq 0 \}\)

Understand the empathy-altruism hypothesis and the role of empathy in altruistic behavior.

Develop awareness of social norms and strategies that promote helping behaviors.

Understand and define the concept of conformity, including its classification as prosocial or antisocial.

Recognize situations where conformity to social norms is more likely to occur and explain why with examples.

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