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

question 193

Essay

Suppose $f : \mathbf { R } \rightarrow \mathbf { R }$ where $f ( x ) = \lfloor x / 2 \rfloor$ .
(a) Draw the graph of $f$ .
(b) Is $f$ 1-1?
(c) Is $f$ onto $\mathbf { R }$ ?

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Definitions:

Parasympathetic Nervous System

A branch of the autonomic nervous system responsible for conserving energy by slowing the heart rate, increasing intestinal and gland activity, and relaxing sphincter muscles in the gastrointestinal tract.

Thalamus

A vital structure in the brain that acts as a relay station, channeling sensory and motor signals to the cerebral cortex.

Insula

A region of the brain involved in consciousness, homeostasis, and the regulation of emotions.

Heart Rates

Heart rates represent the number of heartbeats per unit of time, usually expressed as beats per minute, indicating the speed of the heartbeat.