Chapter 2.1, Problem 109E

(a)

To determine

Thecubic and quartic regression function and decide which one is best for the data provided below;

Country	Daily Caloric Intake	Life Expectancy at Birth (in years)	Under-Five Mortality (number of deaths before age 5 per 1000 births)
Argentina	3030	76	14
Australia	3220	82	5
Bolivia	2100	66	51
Canada	3530	81	6
Dominican Republic	2270	73	25
Germany	3540	80	4
Haiti	1850	62	70
Mexico	3260	77	17
United States	3750	78	8
Venezuela	2650	74	16

(b)

To determine

The domain of function,

$y=5.974353\text{E}-10x^3-1.146923\text{E}-5x^2+0.0585764815x-10.68956937$.

(c)

To determine

The relative extrema of a function

$y=5.974353\text{E}-10x^3-1.146923\text{E}-5x^2+0.0585764815x-10.68956937$ using calculator.