Pre-Test
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Which statement best describes how to determine whether f(x) = x4- x is an even function?
Determine whether (-x)-(x) is equivalent to x1 - x
Determine whether (-4)-(x3) is equivalent to x4 + x3.
Determine whether (-x)4 - (-x) is equivalent to -(x4 - x%).
O Determine whether (-4)-(-x3) is equivalent to -(x4 + x®).

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! : )

cretdit to source

answer is 12345678900987654321234567890987654321

step-by-step explanation: