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

question 205

Short Answer

Suppose $f : \mathbf { N } \rightarrow \mathbf { N }$ has the rule $f ( n ) = 4 n ^ { 2 } + 1$ . Determine whether $f$ is onto $\mathbf { N }$

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Definitions:

Enforceable Transactions

Legal agreements or contracts that can be upheld and compelled by law.

Graduate Fellowship

A form of financial support provided to graduate students to pursue their research or studies without the need for employment.

Binding Promise

A pledge or commitment that legally compels the promisor to fulfill the terms of the promise.

Illusory Promise

An agreement that fails to bind the promisor since it lacks the definiteness or the possibility of performance, making it unenforceable.