The graph below shows the distance (y) between hannah and her home, in km, after a certain time (x), in hours: graph of first line going through ordered pairs 0, 4 and 2, 4. graph of second line going through ordered pairs 2, 4 and 3, 2. which of the following statements best describes hannah"s distance from her home? a: it is decreasing in the interval 2 < x < 4 hours b: it is increasing in the interval 2 < x < 3 hours c: it is decreasing in the interval 2 < x < 3 hours d: it is increasing in the interval 2 < x < 4 hours

C

Step-by-step explanation:

I JUST TOOK THE TEST

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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