Exit Task for 5.05
Jacob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over
weeks can be defined by the function = (8) 2. Jessica finds that the growth function over
weeks is S) = 2 Calculate the number of dandelions that Jacob and Jessica will each have
after 5 weeks.

(a)Jacob: 256 dandelions

(b)Jessica: 256 dandelions

Step-by-step explanation:

Jacob discovers that the growth over  t weeks can be defined by the function:

Jessica finds that the growth function over  t weeks is defined by the function:

After 5 weeks:

Number of Jacob's dandelions

Similarly,

Number of Jessica's Dandelions

After 5 weeks, Jacob and Jessica will have an equal number(256) of Dandelions.

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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