Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began. a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased. b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative? e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest? f. What was the maximum number of new cases diagnosed in a single year? AIDS Diagnoses, 20- to 24-Yr-Olds United States, 1985–2005 3000 (8, 2648) 2500 2000 1500 1000 |(14, 1309) 500 5 10 15 20 Year Number Number of New Diagnoses

Question
Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x
years after the study began.
a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased.
b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased.
c. How many turning points does the graph show?
d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to
model the data? Would the leading coefficient be positive or negative?
e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest?
f. What was the maximum number of new cases diagnosed in a single year?
AIDS Diagnoses, 20- to 24-Yr-Olds
United States, 1985–2005
3000
(8, 2648)
2500
2000
1500
1000
|(14, 1309)
500
5
10
15
20
Year Number
Number of New Diagnoses
Expand
Transcribed Image Text

Data from a 20-yr study show the number of new AIDS cases diagnosed among 20- to 24-yr-olds in the United States x years after the study began. a. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds increased. b. Approximate the interval(s) over which the number of new AIDS cases among 20- to 24-yr-olds decreased. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model the data? Would the leading coefficient be positive or negative? e. How many years after the study began was the number of new AIDS cases among 20- to 24-yr-olds the greatest? f. What was the maximum number of new cases diagnosed in a single year? AIDS Diagnoses, 20- to 24-Yr-Olds United States, 1985–2005 3000 (8, 2648) 2500 2000 1500 1000 |(14, 1309) 500 5 10 15 20 Year Number Number of New Diagnoses

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