Answer: 73-80 require the following discussion of a secant
Chapter , Problem 3.3.74(choose chapter or problem)
73-80 require the following discussion of a secant line. The slope of the secant line containing the two points (x, f(x)) and (x + h,f(x + h)) on the graph ofafunction y = f(x) may be given as f(x + h) - f(x) (x + h) - x In calculus, this expression is called the difference quotient of f. f(x + h) - f(x) h h*O (a) Express the slope of the secant line of each function in terms of x and h. Be sure to simplify your answer. (b) Find msecfor h = 0.5,0.1, and 0.01 at x = 1. What value does mscc approach as h approaches O? (c) Find the equation for the secant line at x = 1 with h = 0.01. ro.: (d) Use a graphing utility to graph f and the secant line found in part (c) on the same viewing window. f(x) = -3x + 2
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