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:

Senescence

Period of the life span marked by declines in physical functioning usually associated with aging; begins at different ages for different people.

Synaptic Pruning

The process of eliminating synaptic connections in the brain that are weak or unused to enhance neurological efficiency.

Neuronal Pruning

The process of eliminating unused or weaker neuronal connections in the brain to enhance the efficiency of neuronal transmissions.

Neurogenesis

The process by which new neurons are formed in the brain, which occurs throughout a person's life, particularly in the hippocampus and olfactory bulb.