Abasketball team practices their shooting. the function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. does a possible solution of (12, 36) make sense for this function? explain your answer.
a. yes. the input and output are both possible.
b. no. the input is not possible.
c. no. the output is not possible.
d. no. neither the input nor output is possible.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

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(3x-8) or (3x+8)

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answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

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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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