Find the domain and range of these functions. note that in each case, to find the domain, determine the set of elements that are assigned values by the function.
(a) the function that assigns to each nonnegative integer its last digit.
(b) the function that assigns the next largest integer to a positive integer.
(c) the function that assigns to a bit string the number of one bits in the string.
(d) the function that assigns to a bit string the number of bits in the string.

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The “rule of 72” is used to approximate the time required for prices to double due to inflation. if the inflation rate is r%, then the rule of 72 estimates that prices will double in 72/r years. for instance, at an inflation rate of 6%, prices double in about 72/6 or 12 years. write a program to test the accuracy of this rule. for each interest rate from 1% to 20%, the program should display the rounded value of 72/r and the actual number of years required for prices to double at an r% inflation rate. (assume prices increase at the end of each year.)

David is in week 3 of his current ashford course and has a paper due by monday night at midnight. he has finished everything but the concluding paragraph. as he boots up his computer to work on it, he sees a flash across the screen and then the screen goes black. he begins to panic as he tries desperately to turn the laptop back on. david should have saved his work on what kind of portable device?