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# 4929926E-3DBA-4279-9A6A-734E6736C191.jpeg - College Calc...

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Unformatted text preview: College Calc exists Derivative Methods Calc AB De The Form 7) The graph of a function over the closed interval, [-2, 2], is given below. State the intervals or speci x-values for when the function appears to be: 1) If fix) - a) differentiable. (art, (-1,o);(0, 1. 5) ; (1.5,a) b) continuous but not differentiable. X=-I 1.5 c) neither continuous nor differentiable. X=-1, X =O X=IS TASK C 8) The graph of the function f shown in the figure below has a vertical tangent at the point (2, 0) and horizontal tangents at the points (1, -1) and (3, 1). For what values of x, where -2<x < 4 , is f not differentiable? Explain your reasoning. X=0 and x=a F vertical tangency not continuous 9) Let f (x) =(3x,x 50 - -3(0)=0 2x, x > 0 2(0)=0 a) Is f(x} continuous at x = 0? Refer to the definition of continuity to support your answer. yes, Oflo)=o lm fud=o 3f(o)-lmfa) X -0 X-70 b) Sketch a graph to determine if the function is differentiable at x = 0. Ca,'xyo #-3+a and not differentable f x) - S-3, xLO because theris- a Corner ad X=O....
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