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:

Adaptive Benefit

The positive impact a specific trait or behavior has on the ability of an organism to survive and reproduce in its environment.

Assortative Mating

A mating pattern where individuals with similar phenotypic or genetic traits are more likely to mate with each other than by chance.

Prisoner's Dilemma

A theoretical game in game theory showing why two rational individuals might not cooperate even if it appears that it is in their best interest to do so.

Reciprocity

A social exchange principle where the actions of one individual lead to a reciprocal action by another, often seen in cooperative behaviors amongst animals and humans.