Suppose F : Z → Z Has the Rule F(n)

question 74

Short Answer

Suppose f : Z → Z has the rule f(n) = 3n − 1. Determine whether f is onto Z.

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Definitions:

Alan Hodgkin

A British physiologist who, alongside Andrew Huxley, described the ionic mechanisms that underlie the generation of the action potential in neurons.

Andrew Huxley

A British physiologist and biophysicist awarded the Nobel Prize for his work on the nerve impulse and muscle contraction.

Nobel Prize

Prestigious international awards given annually in several categories including Physics, Chemistry, Medicine, Literature, and Peace, recognizing significant achievements.

Motor Neurons

Motor neurons are nerve cells responsible for conveying signals from the brain and spinal cord to muscles, instructing them to contract and thus enabling movement.