Solved: Students were asked to evaluate f(4) from the followingtable which shows values
Chapter 2, Problem 49(choose chapter or problem)
Students were asked to evaluate f(4) from the followingtable which shows values of the function f: Student A estimated the derivative as f(4) f(5) f(4)5 4 = 0.5. Student B estimated the derivative as f(4) f(4) f(3)4 3 = 0.3. Student C suggested that they should split the differenceand estimate the average of these two results,that is, f(4) 12 (0.5+0.3) = 0.4.(a) Sketch the graph of f, and indicate how the threeestimates are represented on the graph.(b) Explain which answer is likely to be best.(c) Use Student Cs method to find an algebraic formulato approximate f(x) using increments of size h.
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