What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4?

A.
as x increases, f(x) increases;

as x decreases, f(x) decreases

B.
as x increases, f(x) decreases;

as x decreases, f(x) decreases

C.
as x increases, f(x) increases;

as x decreases, f(x) increases

D.
as x increases, f(x) decreases;

as x decreases, f(x) increases

B

Step-by-step explanation:

Look at graph

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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