1. Describe the transformations that map /(x)me' onto g(x) =2"*+3 Answer the following questions about gur) Domain; Range: Identify any asymptotes and write their equation: Evaluate: ling(x)= lim r(x)- 2. Use the following data tables to calculate an exponential regression model. Use your equation to answer the questions Prescription Drug Sales in the United States Since 1995 Years Since 1959 Prescription Drug Sales (billions of Usoj 1 3 103 0 1217 1407 Repression Equation: Based on this model. What is the predicted amount of drug sales in the year 2021? 3. An initial population of 100 bacteria is increasing exponentially at a rate of 15%. Write an equation that models this growth. Live your equation to predict the amount of bacteria that will be present after 7 hours.4. Describe the transformations that map / (x) = ly, x onto r(x) =-#hog, (x+1) Answer the following questions about pux) Domain: Range Identify any asymptotes and write their equation: Evaluate: lim gur)m "Sketch gurl lim rix)= 5. The flu has started to spread around the small town of Hope's Landing Hours since first cases were 1 2 10 detected Number of 278 310 574 1297 1985 7591 2762 3001 3146 1200 Compute a logistic regression to model the data: Use your model to predict the number of cases that will occur after 72 hours 6. A house has an increasing mouse population. Suppose that the mouse population after t days is Given by the equation Mir= = 420 1+313. Answer the following How many mice originally migrated into the house? What is the maximum number of mice the homeowner can expect