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Read all questions carefully and answer them completely. Show appropriate work to receive maxi- mum credit. In general, i.f you can label something with units, you should label it with units. Follow the rounding guidelines that are found on page four of your workbook. Problem 1 The following table shows the median income of American families for the years 2007 through 2011. Median Income (thousand dollars) 51.63 54.62 57.85 61.19 64.70 (8.) Use exponential regression to write a complete model for the median income of American families. Align the input so that the year 2007 corresponds with an input of 0. (b) Based on your model, by what percentage does the median income of American families increase every year? Round your answer to the tenths place. (0) Based on your model, what will the median income of American families be in the year 2021? ((1) Based on your model, in what year will the median income of American families rst exceed $80,000? Problem 2 Evaluate the following without the use of a calculator. Show at least one step of work before your final answer. (a) 10g36 (b) log2 (log(10000)) Problem 3 Find the inverse of the function below. Use proper function notation with your answer. f(x) = 2 +710g3(X - 5) Problem 4 Find the domain of the function below. State your answer using interval notation. f (20) = 1+ x - 2 In(3x - 11)