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L 12. Which of these statements is true about the inverse of a one-to-one function? 17. Given a function f(x) = x7 + 4x -2, find the inverse. i. The inverse of f (x) is f(x). iii. f (f(x)) = x for all x in the domain of f. a. f' (x) = 1/x+2 ii. f(f (x)) = x for all x in the domain of f. b. f'(x) = V/x - 3 a. i only c. ii only b. ii and iii only d. all of the above c. f'(x) = 13. Which of the following situations does not represent a one-to-one function? d. no inverse function a. pairing a person to his citizenship 18. Find the inverse of f(x) = x -2. b. Presidents or Prime Ministers to countries c. movie tickets to seat numbers a. f' (x) = V/x+2 d. Mayors to cities or towns b. f' (x ) = V/x - 3 14. Which of the following shows the graph of a one-to-one function? X-1 a. 3 d. no inverse function 19. What is the relationship between the graph of a function and its inverse? d. a. their graphs are coincident b. their graphs are parallel to each other c. their graphs are reflection of each other d. their graphs are perpendicular to each other 15. Find the inverse of f(x) = (x+3)3 20. All of the following represent a one-to-one function, EXCEPT a. f'(x) = V/x+2 a. f(x) = x c. f(x) = x - 1 b. f'(x) = V/x - 3 b. f(x) = 1 d. f(x) = x+ 1 c. f'(x ) = Prepared d. no inverse function 16. What is the inverse of f(x) = 3x + 1 a. f (x) = Vx+2 b. f' (x) = Vx - 3 c. f'(x) = X-1 3 d. no inverse function O7. What are the vertical asymptotes of Rational Functions: x -9 f( x) = = x' -7 x +10 1. Which of the following functions does not have vertical asymptote? a. x = 2 and x = 5 C. x =3 and x = -3 a. y=- x+3 X -9 C. y= b. x =-2 and x = -5 d. x =1 x+3 b. y= d. y =- _2 8. Which of the following functions has a ( x -3) vertical asymptote at x =2 and a horizontal asymptote of 2. What is the horizontal asymptote of =1? x -27 1 ( x ) = - a. y= - x -6x+9 *+3 x+1 C. V= 4 x +3x+2 a. y =2 C. V=0 b. y =- 3 d. y= = -9 b. y =-1 d. y =1 x - 2 x' - 4x+4 3. What is the x-intercept of the function x' - 5x+4. 9. For the function / (x) = x+x-6 1 ( x ) = x + x -20 x -1 determine the values for which the function is a. x =1 and x = 4 C. X =-4 undefined. b. x =1 d. x=4 a. x= -3,2 C. x = -4,5 4. What is the domain of the function b. x =3,-2 d. x =-5,4 x+3. 1( x ) = 10. What is the domain of the function a. (x x R except x = =1,1) represented by the graph below? b. (x x R except x = =1) C. (x x R except x =1) a. ( x x 1, xER) d. (xx = R except x = -3) b. (x x R except 5. What is the oblique asymptote for x = -3,2) 1( x) = x - 3x +2 2 c. { x x = R ) x+ 2 12 a. y = 12 C. y = x-5+ - 11. Describe the characteristics of the function x+2 1( x) = x - 4 b. y= x-5 d. y = - 12 x +2 * +2 a. The vertical asymptote is x = -2 6. What are the zeroes of / (x) = (x-3)(x+2) b. The oblique asymptote is y = x-2 x( x +5)( x-1) c. The horizontal asymptote is y = 0 a. x = 3,-2,-5,1,0 C. x =3,-2 d. There is a point discontinuity b. x = -5,1 d. x = 0,-5,1 E O