Calculate the Average Rate of Change for the Following Functions $$f ( x ) = x ^ { 2 } \text { between } x = 1$$

question 13

Essay

Calculate the average rate of change for the following functions: $$f ( x ) = x ^ { 2 } \text { between } x = 1$$ $$\text { and } x = 4$$

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Definitions:

Natural Selection

A process by which species adapt to their environment as individuals with beneficial traits survive and reproduce more successfully than others.

Behaviourism

A theory of learning based on the idea that all behaviors are acquired through conditioning, initiated by interactions with the environment.

John Watson

An American psychologist often cited as one of the founders of behaviorism, emphasizing the importance of observable behaviors over internal phenomena like thoughts and feelings.

Conscious Experience

The subjective awareness of one's thoughts, feelings, and environment, often contrasted with unconscious processes.