Question: 9. Let f be a differentiable function with / (2) = 3 and f (2) - -5, and let g be the function defined by


9. Let f be a differentiable function with / (2) = 3 and f "(2) - -5, and let g be the function defined by (x) = x/(x). Which of the following is an equation of the line tangent to the graph of g at the point where I= 27 (A) y = 3x (D) y - 6 - -7(x - 2) (B) y - 3= -5(x - 2) (E) y - 6 - -10(x - 2) (0) ) -6 =-5(1 - 2) 10. The function f has the property that f(x). /'(x), and / "(x) are negative for all real values x. Which of the . . following could be the graph of f ? (A) (B) (D) 1 1. Let f be a function that is differentiable on the open interval (1. 10), If f(2) = -5. f(5) = 5, and /(9) = -5, which of the following must be true? I. f has at least 2 zeros. II. The graph of / has at least one horizontal tangent, III. For some c. 2 0 for all x (ii) f(0) = 1 If her) = f(rig(x) and h (x) = f(x)g'(x), then /(x) = ( A) /(x) (B) 8(x) (C) ed (D) 0 (E) 1
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
