If , then draw the graph of in the interval and discuss the continuity and…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If f(x)=∣x+1∣(x+∣x−1∣)f(x) = |x+1|(x+|x-1|), then draw the graph of f(x)f(x) in the interval [−2,2][-2, 2] and discuss the continuity and differentiability in [−2,2][-2, 2].

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