1. Let f(x) = x² - 2x + 1. (a) Find the slope of the graph of y = f (x) at the point P = (0, 1) by directly evaluating the limit: f'(0) = lim Δx-0 f(Ax)-f(0) Ax - ƒ(0)) (b) Find the equation of the tangent line What are the x and y intercepts of 1? to the graph off at P. (c) Find the equation of the line, n, through P that is perpendicular to the tangent line (Line n is called the normal line to the graph of f at P.) (d) Sketch a careful graph that displays: the graph of y = f (x), its vertex point, its tangent and normal lines at point P, and the x and y intercepts of these lines.

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