advertisement

Chapter 7 Vocabulary (7-6) âĶ3.) exponential function 7-6 EXPONENTIAL FUNCTIONS Algebra 1 Exponential Function âĶA function of the form ðĶ = ð â ð ðĨ , ðĪâððð ð ≠ 0, ð > 0, ð ≠ 1 ððð ðĨ ðð ð ðððð ððĒðððð. Identifying an exponential function. âĶ Ex. 1) Does the table or rule represent an exponential function? âĶ 1a.) x 0 1 2 3 y 2 6 10 14 âĶ 1b.) y = 3 â 6ðĨ âĶ 1c.) y = 2x Evaluating an exponential function. âĶ Ex.2) A population of 75 foxes in a wildlife preserve quadruples in size every 15 years. The function y = 75· 4ðĨ , where x is the number of 15 year periods, models the population growth. How many foxes will there be after 45 years? Graphing an exponential function. 1 âĶ Ex. 3) What is the graph of ðĶ = 4 â 3ðĨ ? Graphing an exponential model âĶ Ex. 4 ) A solid waste disposal plan proposes to reduce the amount of garbage each person throws out by 2% each year. This year, each person threw out an average of 1500 lb of garbage. The function ðĶ = 1500 â 0.93ðĨ models the average amount of garbage each person will throw out each year after x years. Graph the function.