Olivia and John decided to gather information about the amount of days of sunshine in their hometown. Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019
Days of sunshine 150 162 174 186 198 210 222 234 246 258
Using the values in the table and the slope formula, calculate the average rate of change.

12 days
24 days
15 days
17 days

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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