sally pizza charges a base price of $13 for a large pizza plus $1.20 for each additional topping .  a. find a function f that models the price of a pizza with x toppings ..  b. . find the inverse of the function from part 1 . what does f-1 represent ?  f-1 (x) = _____ f-1(x) represents = _____     if pizza cost $20.20 , how many topping does it have ? use the inverse function from part b to solve the problem.

Medical Literature It has been observed that there has been an increase in proportion of medical research papers that use the word novel in the title or abstract, and that this proportion can be accurately modeled by the function p(t)=0.001131e0.1268t, where t is the number of years since 1970. Source: Nature. a. Find p(40). b. If the phenomenon continues, estimate the year in which every medical article will contain the word novel in its title or abstract. c. Estimate the rate of increase in the proportion of medical papers using this word in the year 2010. d. Explain some factors that may be contributing to researchers using this word.

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

Poultry Farming Researchers at Iowa State University and the University of Arkansas have developed a piecewise function that can be used to estimate the body weight in grams of a male broiler during the first 56 days of life according to W(t)={48+3.64t+0.6363t2+0.00963t3if1t28,1004+65.8tif28t56, Where t is the age of the chicken in days. Source: Poultry Science. a. Determine the weight of a male broiler that is 25 days old . b. Is W(t) a continuous function? c. Use a graphing calculator to graph W(t) on [1,56] by [0,3000].Comment on the accuracy of the graph. d. Comment on why researchers use two different types of functions to estimate the weight of a chicken at various ages.

LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.