Question

Find the slope of the curve at the indicated point.
f(x)= abs(x) at a. x=2 b. x=-3
f(x)= abs(x-2) at a. x-1

Answer 1

|x| = x if x>=0 -- slope = 1
|x| = -x if x<0 -- slope = -1

|x-2| = x-2 if x-2 >= 0, or x>=2 -- slope = 1
|x-1| = 2-x if x-2 < 0, or x<2 -- slope = -1

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