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5. Let f(x) = = x' - &x + 12 x - 4x - 12 Determine the equation(s) of the vertical asymptote(s) of f(x). a. x = 2 C. x =-2 b. x =6 d. x = 2 and x = 6 6. Let the graph below represent f(x). For what values of x is the second derivative positive? 3+ . f" is always positive C. -2 0 if x > -1 x+2 x + 5 1 x+2 if x $ 1 - if x 1 x + 1 x +1 if x 20 8. Let the position of a certain particle be described by the function s(t) = kt - (5k + 1)t+k. For which constant value of k is the particle stationary when the time t = 2 s? a. k =-5 c. k =2 b. k =1 d. k=-1 9. Determine the possible point of inflection of f(x) = x3 + 2x2 - 4x + 7. 2 277 C. 2 277 3 27 5'27 27 b. 2 27 27