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3. a. Sketch the graph of y = 'x' . b. Use the graph to explain why this function is not locally linear at x

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3. a. Sketch the graph of y = 'x' . b. Use the graph to explain why this function is not locally linear at x = 0. c. Is the function locally linear for other values of x? Explain. 1/3 4. Zoom in on the graph of the function y = (x 1) + 2 near the point (1, 2). Is the curve locally linear at (1, 2)? Explain. ax+b, ifo4 5' LatJCFlJE ifx>4 a. Use a graphing utility to graph f using the window [0,8]X [0, 4] with a = 2 and b = 6. b. Does the function in part (a) appear to be locally linear at x = 4? c. Determine values of a and b for which x) is locally linear at x = 4. Then graph your function.

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