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Consider the function f(x) = |x| + 1; g(x) = 1 – |x|  (a) Sketch the graph and shade the enclosed region between them. 

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Consider the function f(x) = |x| + 1; g(x) = 1 – |x| 

(a) Sketch the graph and shade the enclosed region between them. 

(b) Find the area of the shaded region.

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(a) 

(b) The equation of the line through AB is

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