Algebra homework

Week 3

1. Sketch a graph of a continuous function that has an absolute minimum of 1 at x = −3 and a local maximum of 3 at x = 2.

2. (Calculator Question) The table lists the number N (in thousands) of Americans over 100 years old for selected years x.

x 1960 1970 1980 1990 2000 2010 N 3 5 15 37 50 70

(a) Use regression to find a polynomial of appropriate degree that models the data. Let x = 0 correspond to 1960. Round coefficients to 6 decimal places. Hint: Use the values of r2 (or R2

based on your calculator) to guide which degree is the best fit.

(b) Estimate N in 1994 and 2020. Did your answers use interpolation or extrapolation?

(c) Interpret your answer for N in 1994.

MTH 111 1 WDQ3