Lauren is considering buying one of the four popular e-readers where the e-reader’s premium services is a monthly charge. The function A1 (t) = 5t + 350, A2 (t) = 10t + 250, A3(t) = 499, and A4 (t) = 15t + 179 model the total amount of money A, in dollars that Lauren spends after buying the e-reader and subscribing to t months of e-reader’s premium services. Which e-reader has the greatest monthly subscription cost?

a. E-reader 1 with cost A1(t)
b. E-reader 2 with cost A2(t)
c. E-reader 3 with cost A3(t)
d. E-reader 4 with cost A4(t)

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step-by-step explanation:

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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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step-by-step explanation:

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