(a) Estimate the years between 2012 and 2020 when unemployment was 7%. 

(b) Use the table in Example 8 to calculate the average rate of change in unemployment from 2014 to 2018. Interpret the result.

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EXAMPLE 8 Determining a cubic modeling function The data in TABLE 4.2 (repeated in the margin) lists Brazil's unemployment rates. (a) Find a polynomial function of degree 3 that models the data. (b) Graph f and the data together. (c) Estimate unemployment in 2024. (d) Did your estimates in part (c) involve interpolation or extrapolation? Is there a problem with using higher degree polynomials (n ≥ 3) for extrapolation? Explain. Brazil's Unemployment Rate (%) 6.75 5.48 4.84 9.19 Year 2010 2012 2014 2016 2018 2020 10.4 10.0 TABLE 4.2 (Repeated)