Suppose a pilot study is conducted using data from 10 heavy ice-cream eating students who just bought four-scoop banana splits! There is a concern that eating too much ice cream could raise cholesterol levels into the "borderline high" range of more than 200 mg / 100 dl3. The study measures blood cholesterol levels on the 10 ice cream eaters with the following measurements:
189, 143, 258, 238, 229, 161, 278, 252, 220, 179
Go through "The Drill". Can we extrapolate our conclusions to all ice cream eaters?

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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