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- WELCOME TO AN EXAMPLE ON FUNCTION NOTATION. BEFORE LOOKING AT THE ACTUAL PROBLEM THOUGH I THOUGHT ID SHARE AN INTERESTING STATISTIC. IN 2008, THE AVERAGE AMOUNT OF WASTE GENERATED BY EACH PERSON IN THE UNITED STATES PER DAY WAS 4.5 POUNDS. OF THIS 4.5 POUNDS, 24.3% OF THE WASTE WAS RECYCLED, 8.9% WAS COMPOSTED AND 66.8% WAS SENT TO LAND FIELD OR INCINERATED. NOW FOR OUR EXAMPLE, THE AMOUNT OF WASTE W PRODUCED BY A CITY WITH POPULATION P IS GIVEN BY W = F OF P. SO WE CAN SAY THE AMOUNT OF WASTE W IS A FUNCTION OF THE POPULATION P. WHERE W IS MEASURED IN THOUSANDS OF POUNDS PER DAY AND P IS MEASURED IN THOUSANDS OF PEOPLE. SO IF THE CITY OF FLAGSTAFF, ARIZONA HAS A POPULATION OF 65,000 AND PRODUCES 273,000 POUNDS OF WASTE IN ONE DAY; WE WANT TO WRITE THIS INFORMATION IN TERMS OF THE FUNCTION F. SO WE KNOW THAT W = F OF P OR W IS A FUNCTION OF P AND THEREFORE THE POPULATION P IS THE INPUT. NOTICE IN THIS CASE THE POPULATION IS 65,000 AND THE AMOUNT OF WASTE W IS THE OUTPUT; WHICH IN TH