International Business Machines Corporation (IBM) is an American multi- national technology company headquartered in Armonk, New York, with operations in over 170 countries. The company began in 1911, founded in Endicott, New York, as the Computing-Tabulating-Recording Company (CTR) and was renamed "International Business Machines" in 1924. IBM is incorporated in New York. IBM produces and sells computer hardware, middleware and software, and provides hosting and consulting services in areas ranging from mainframe computers to nanotechnology. IBM is also a major research organization, holding the record for most U.S. patents gen- erated by a business (as of 2020) for 27 consecutive years. IBM's annual revenue in tens of billions dollars can be approximated by the model (http://macrotrends.net) R(x) = .02x.29x + .92x +9.6 where r is the number of years since 2009 (r = 0 corresponds to 2009) valid for 0x9. Type this function on an input line using the Graphing Perspective in GeoGebra. 1. Fill in the four blanks: This model, R(x), is valid starting with the (corresponding to r=_ ) and ending with the year (corresponding to r=________) year 2. Use the given model, R(z), to determine IBM's annual revenue for 2013. Fill in the blanks and write a sentence summarizing your answer. (a) R() = (b) IBM's 2013 Revenue (round to two decimal places) (c) Type a sentence summarizing your answer below: 3. Use the given model R(x) to determine IBM's annual revenue for 2014. Fill in the blanks and write a sentence summarizing your answer. (a) R(____) = (round to two decimal places) (b) IBM's 2014 Revenue = $ (c) Type a sentence summarizing your answer below: (d) Below is a portion of the graph of R(r) near the points corresponding to z = 4 and r= 5. Notice that IBM's revenue decreases from the year corresponding to a = 4 to the year corresponding to z = 5. The amount of decrease can be found by calculating R(5) - R(4), which will be negative (indicated by the downward pointing arrow). 3 (4, R(4)) a increases by 1 unit (one year increase) IBM's Revenue: R(x)=.02x.29x+.92x +9.6 Fill in the blanks below: R(5)-R(4)= to . Interpretation of R(5) - R(4): IBM's annual revenue by $ (year). (5, R(5)) R(5)-R(4)