Consider the Function $f ( n ) = 2 \lfloor n / 2 \rfloor$

question 4

Essay

Consider the function $f ( n ) = 2 \lfloor n / 2 \rfloor$ from $\mathbf { Z }$ to $\mathbf { Z }$ . Is this function one-to-one? Is this function onto? Justify your answers.

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Definitions:

Produce Language

The capacity to generate words, sentences, and discourse to communicate thoughts, ideas, and emotions.

Understand Speech

The cognitive process of interpreting and comprehending spoken language.

Forebrain

The forebrain is the largest part of the brain, responsible for a variety of functions including motor control, emotion, reasoning, and learning.