Which of the following is a eighth-degree polynomial function? Select all that apply. (1 point) x) = (x4 + :02 1 x864 f0!) = f(x) =10xx8 f(x)=x7+8x1 Given the function for) = x4 + 625i x2 30x + 4, use the Intermediate Value Theorem to decide which of the following intervals contains at least one zero. Select all that apply. (2 points ) [41-4] [-4.-3] [-3.-2] [-1.0] [0,1] [1,2] Use the Rational Zero Theorem to create a list of all possible rational zeroes of the function f (x) = 6x* - 3x + 2. (1 point) O +1,12,+ W/ m O +1,12,15, 1 W / - WIN al O +1,+2,13, 16 O +1,+2, 13, 16,+ N/ WUse the Remainder Theorem to find the remainder when the function f(x) = x3 +8x2 2x is divided by (X + 3). (1 point) 93 93 51 39 Use synthetic division to determine which of the following are the real zeroes of the function f(x) = 3xj +102:2 +4x 8. (1 point) 3 -52 x2 - 16 Which of the following is the domain of the function f (x) = ? 3x - 11x - 4x (1 point) O ( -00 , 4 ) W / - 4, 7 ) ~ ( 3.00) O (-00, - 3 ) ~ ( - 3. 0) ~ (0,4) U ( 4,0) 0 ( - 00. } ) U ( 3. 0 ) U ( 0,0) O ( - 00, - } ) ~ ( - 3.0) ~ (0, 00 )Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = 2 . Explain how you determined your answer. (4 points) x3+1 Find the equation of the horizontal asymptote of the function f(x) = W . x _ (1 point) 2x27x8? What is the equation of the slant asymptote of the graph of the function f0) = 4 x _ (1 point) y=2x+2 y=x+3 y=2x+1 y=2x15