2. (6 points) Let f be the function given in the graph below. Note that the domain of f is [3, 4]. (a) (1 point) Does f have an inverse? Explain why or why not. (b) (1 point) Consider these four intervals inside the domain: [3,1], [1,2], [1,3], [2,4]. The restriction of f to exactly one of these inter- vals has an inverse. Which interval? (0) (2 points) Let g be the restriction of f to the inter- val you answered in part (b). What is g_1(1)? (You may estimate the answer from the graph if necessary.) Briey explain your answer. (d) (2 points) Sketch the graph of 91 on the axes below. No explanation required. (If you cannot write on the test paper itself for part (d), draw a large set of clearly labeled axes yourself on paper, and sketch the graph there as part of your solution.)