Problem 1 {20pm} Cardi 0 went to a party and drank alcohol. She estimated that her blood alcohol content {BAG} was [1.16. BAG decreases by 25% ever}r hour. a. [3 pts} Is this ltuation describing a linear or exponential decrease? Write several sentences to convince me of your answer. h. {3 pts} Write a function describing this situation. o. [-1 pts) Sketch its graph (Hint: It might help to start by making a table.) d. [5 pts} Cardi D knows a. safe driving level for someone of her weight is 11.114. How long does she need to hang out 1with her friends (without drinking any more aloohol} before it is safe for her to dr'ire'ill Show or explain your method for nding this solution. Problem 2 (20pts) Consider the function f(x) = (x - 3). a. (10 pts) How could you change the domain of f(x) so that it would be one-to-one? Explain why the domain you chose would make the function one-to-one. b. (5 pts) Find the inverse of your restricted function. c. (5 pts) Graph f(x) and f"(x) together on the same set of axes.Let f(x) = tan(x) and g(x) = x - 2. a. (10 pts) Find and graph f (g(x)). Explain how this graph differs from the graph of tan(). b. (10 pts) Find and graph g (f(x)). Explain how this graph differs from the graph of tan()