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

question 210

Short Answer

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

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Definitions:

Leadership Style

The manner and approach of providing direction, implementing plans, and motivating people within an organization.

Path-Goal Theory

A leadership theory that suggests leaders should adjust their leadership style to help followers reach their goals effectively.

Participative Leadership

A leadership style where the leader involves team members in the decision-making process, ensuring that their opinions and suggestions are considered.

Directive Leadership Style

A leadership approach characterized by clear instructions, close supervision, and strict adherence to rules and procedures.