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AP Calculus BC AP problem 1b

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AP Calculus BC AP problem 1b

CALCULUS BC NAME__________________________________ AP PROBLEM #1b DO NOT USE A CALCULATOR. Answer questions completely. Show work. Let f be defined by ( ) 2x 1 x= ?f . (a) Sketch the graph of ( )xf . (b) Rewrite the function using piecewise notation. (c) Using what you did in part b and the definition of continuity, prove that f is continuous at x = 1. (d) Determine (using one-sided limits) if f is differentiable at x = 1. (need to use the derivative limit)
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