The binary search algorithm. an: increasing integers) procedure binary search (x: integer, a1,a2, i: = 1 {i is left endpoint of search interval } = n {j is right endpoint of search interval} while ij i#x > am then i : = m + 1 else j : = m if x = ai then location : = i else location : = 0 return location location is the subscript i of the term a equal to x, or 0ifx is not found) 26. change algorithm 3 so that the binary search procedure compares x toam at each stage of the algorithm, with the algorithm terminating if x = am, what advantage does this version of the algorithm have? 2. (20 points) exercise 26, p. 203. provide pseudocode and complexity for this algorithm. change algorithm 3, p. 195, so that the binary search procedure comparesr to am at each stage of the algorithm, with the algorithm terminating if am (a) write what an advantage has this version of the algorithm. (b) write a formula for a function which expresses the number of comparisons for the elements of a sorted sequence , an against the target z in the worst and the best cases. (c) classify the algorithm in the worst case using the big-o asymptotic notation.

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One main difference is that a graphing calculator can graph out functions while a scientific calculator cannot. there are some scientific calculations that have built-in table functions, but generally (and obviously) scientific calculators are not built to be able to graph. graphing calculators have larger screens to accommodate for their eponymous use.furthermore, graphing calculators are usually more advanced. because of the specifications needed (like ram, processor) to be able to generate graphics, graphing calculators are able to support more sophisticated functions/features. some graphing calculators have a computer-algebra system, like the ti-89 titanium. some support spreadsheets. some even support programmable games. some allow for connectivity with a computer to install new programs.we have to consider another major difference: the price. graphing calculations are way more expensive than scientific calculators. i believe this has to do with the history behind graphing calculators. for example, texas instruments basically holds a monolopy over graphing calculators. school keep using tis because that is what they are familiar with.