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:

Rational Decision Model

A decision-making process that involves logical and systematic steps based on objective data and analysis rather than intuition or emotion.

Decision-Making

The process of making choices by identifying a decision, gathering information, assessing alternatives, and arriving at a conclusion.

Basic Steps

Fundamental phases or actions that are essential in initiating or completing a process or procedure.

Escalating Commitment

The phenomenon where individuals or organizations continue to invest time, money, or resources into a failing decision or project, often due to prior investments.