Question: Graph the function f sxd x 1 s|x | . Zoom in repeatedly, first toward the point s21, 0d and then toward the origin.

Graph the function f sxd − x 1 s|x | . Zoom in repeatedly, first toward the point s21, 0d and then toward the origin.

What is different about the behavior of f in the vicinity of these two points? What do you conclude about the differentiability of f ?

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