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Let where a is a positive constant. (a) Determine where f(x) is increasing and where it is decreasing. (b) Where is the function concave up and where is it concave down? Find all inflection points of f(x). (c) Find and decide whether f(x) has a horizontal asymptote. (d) Sketch the graph of f(x) together with its asymptotes and inflection points (if they exist).
Design a PayRoll class that has data members for an employee’s hourly pay rate and number of hours worked. Write a program with an array of seven PayRoll objects. The program should read the number of hours each employee worked and their hourly pay rate from a file and call class functions to store this information in the appropriate objects. It should then call a class function, once for each object, to return the employee’s gross pay, so this information can be displayed. Sample data to test this program can be found in the payroll.dat file.