Find the X-values of all points of inflection for the function f(x) = – x4 + 6x³. O A. X = - 3 only O B. X =0 only OC.X=0 and x = 3 O D. X = 0 and x = - 3 O E. X = 3 only

Given a function f(x) with the function values ƒ(−6) = −24, ƒ(−2) = −20, ƒ(−1) = 0, and ƒ(4) = 64, which value of x is a factor of the function? A. x = -6 4. 5. The function y = 4(−x + 9)¹(2x − 3)²(x + 6) changes signs at A. x = -9 B. x = 9 C. x = A. B. x = -2 C. x = 3 6. Which list best represents the values of x that make the following equation true: 3x³ + 6x² + 11x + 6 = 0 ? A. +1, +2, +3, +6 B. ±1,±2, ±3,±6,±½‚±z C. +1, +2, +², +², +³ D. 0, 11, 12, 13, +++ 3x-1 7. 6x4 - 2x³ - 21x² + 7x +8 is divided by 3x – 1 to give a quotient of 2x³ 7x and a remainder of 8. Which statement is true? 6x4-2x³-21x² +7x+8 = 2x³ - 7x + C. x = -1 8 3x-1 8. What is the solution to − (x − 3)(x + 8) < 0 ? - A. x € (-∞, -3) U (8,00) 3 2 B. x € (-∞, -8) U (3,00) D. x = 4 2 D. x = -6 C. x € (-∞, -8] U [3,00⁰) B. 6x4 - 2x³ - 21x² + 7x+8 = (3x − 1)(2x³ – 7x) - 8 D. All of these statements are true D. x € (-8,3)

Which of the following is equivalent to f(x +h) – f(x) h for the functionf (x) = 2 – 5x²? 10х + 5h —10х — 5h 5h -10x + 5h -5h

8x +3 2. Consider the functions f(x)=. and g(x)=x-5. бх - 17 8x + 3 a. Find the domain of f(x)=. Your answer must be exact and in interval бх — 17 notation. b. Find (fogXx) and simplify your final answer.