Consider the Function $f ( x ) = | x - 2 |$

question 74

Essay

Consider the function $f ( x ) = | x - 2 |$ (a) What is the domain of f?
(b) At what number(s), if any, is f discontinuous? Explain your answer.(c) At what number(s), if any, is f not differentiable? Explain your answer.

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Definitions:

Motor Neurons

Nerve cells that transmit impulses from the brain or spinal cord to muscles or glands, causing them to act.

Sensory Neurons

Specialized neurons responsible for converting external stimuli from the organism's environment into internal electrical impulses.

Neural Networks

Computing systems inspired by the biological neural networks that constitute animal brains, used in machine learning and artificial intelligence.

Stem Cells

Undifferentiated cells capable of dividing and giving rise to more cells of the same type or differentiating into specialized cells.