Average Rate of Change Consider the function f(x) = −x2 + 4x − 3. Find the average rate of change of the function from x1 to x2.
(a) x1 = 1, x2 = 2
(b) x1 = 1, x2 = 1.5
(c) x1 = 1, x2 = 1.25
(d) x1 = 1, x2 = 1.125
(e) x1 = 1, x2 = 1.0625
(f) Does the average rate of change seem to be approaching one value? If so, then slate the value.
(g) Find the equations of the secant lines through the points (x1, f(x1)) and (x2, f(x2)) for parts (a)–(e).
(h) Find the equation of the line through the point (1, f(1)) using your answer from part (f) as the slope of the line.
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