Suppose $f : \mathbf { Z } \rightarrow \mathbf { Z }$

question 185

Short Answer

Suppose $f : \mathbf { Z } \rightarrow \mathbf { Z }$ has the rule $f ( n ) = 3 n ^ { 2 } - 1$ . Determine whether $f$ is 1-1.

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Definitions:

Indulgent

Being indulgent is characterized by a tendency to be overly generous or lenient, often in a way that allows for excessive freedom or the gratification of desires.

Warm

Having a moderate degree of heat, or showing kindness and affectionate concern for others.

Cognitive-developmental View

A perspective in psychology that focuses on how cognitive abilities change and evolve with age, influenced by the work of Jean Piaget.

Lawrence Kohlberg

A psychologist known for his theory on the stages of moral development, emphasizing the progression of ethical reasoning.