Let $f ( n ) = 2 n + 1$ Is

question 10

Essay

Let $f ( n ) = 2 n + 1$ . Is $f$ a one-to-one function from the set of integers to the set of integers? Is $f$ an onto function from the set of integers to the set of integers? Explain the reasons behind your answers.

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Definitions:

Consumption

The process by which households make use of goods and services.

Interest Rate

The portion of a loan accumulating interest for the borrower, usually articulated as an annual percentage of the unpaid loan balance.

Income

The financial compensation gained from selling goods or services, or through other means such as rental income or investments.

Utility Function

An economic concept representing a user's satisfaction levels with varying consumption of goods or services, ranked from less to more preferred.