1.

Part 1 - Application

Describe a "real world" situation that can be described by this function? What is the domain and what is the range of your situation? Be sure to label the axes. (hint: Try using time, speed, temperature, etc.)

\f2. Part 2 - Find the error(s) and solve the problem correctly. Find the inverse of the function given f(ac) = 22+5 Answer: f-'(y) = 3 + 51. Suppose your boss informs you that you have been awarded a 10% raise. (20 points) A. Write a function that describes your new salary, S, as a function of your original salary, p. B. Find the inverse of your function S(p). The next week, your boss announces that due to circumstances beyond her control, all employees will now have their salaries cut by 10%. C. Write a function to determine your latest salary, L, as a function of your original salary, p. D. Are increasing your salary by 10% and decreasing that subsequent salary by 10% inverse processes? Explain.2. Consider two functions f (x) and g(x), and such that f (x) = g(x). (10 points) Must it also be true that g (x) = f(x)? Why or why not? As a hint, consider how the domains and ranges of functions and their inverses are related.A water tank is leaking. The amount of water in the tank was measured three times after it started to leak. The table shows the measurements. (20 points) Time (t, in minutes) 2 4 9 10 15 20 Amount of water 1900 1800 1500 1430 1045 588 (w, in gallons) A. Graph the information given in the table. Be sure to label your axes. B. Based on the graph, what model would you choose to fit this data? Explain. C. Using your graph, estimate the amount of water left in the tank after 3 minutes. D. If this pattern were to continue, estimate when the tank will be empty