Question: (1 point) Find a local linear approximation for the function f(x) = Ox +2 x - 2 valid for x near 3. 6x + 2

(1 point) Find a local linear approximation for the function f(x) = Ox +2 x - 2 valid for x near 3. 6x + 2 Answer: x - 2 Hint: The local linear approximation at x = 3 is the tangent line at x = 3. The equation for this tangent line, in slope-intercept form, is y = m(x - 3) + b where m = f'(3) and b = f(3). So compute m and b, put these into the equation for the tangent line, and then enter the right-hand side of that equation as your answer. Preview My Answers Submit Answers
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