Questions 6-30, evens. Questions 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

HW 5.1.1: Rational Functions Match each equation form with one of the graphs. Assume cad. 1. f (x) = _ X-C x -d 2. 8(x) = *-c) 3. h(x) =- X -C x-d 4. k(x) = (*-c) ( x -d) (x - d) A B C D For each function, find the x-intercepts, y-intercept, vertical asymptotes, end behavior (horizontal asymptotes), and holes if applicable. Use that information to sketch the graph. 5. p(x) = 3x - 5 x+2 6. q(x) = *-5 3x- 1 7. s( x) = 4 6 (x-2) 8. r(x) =- (x + 2)? 9. f(x) = 3x -14x-5 3x- +8x-16 10. g(x)= 2X" -1 1x+15 3x3 -14x +1511. a(x)= x'+2x-3 12. b(x) = x' +4x-5 x- -1 x - 25 13. h(x) 2 x + x-1 14. k(x) = 3x- - x-10 x' -4 x' + 2x-3 15. n(x) = 3x3 +4x-4 16. m(x) =- 5-x x' -4x 2x* + 5x+3 17. w(x)= ( x-1)(x+3)(x -5) 18. z(x) = (x + 1)' (x-7) (x + 2) ( x-4) (x -5)(x+2)(x+3)Write an equation for a rational function with the given characteristics. 19. Vertical asymptotes at x =5 and x =-5 x intercepts at (2,0) and (-1,0) y intercept at (0,4) 20. Vertical asymptotes at x=-3 and x=-2 x intercepts at (2,0) and (1,0) y intercept at (0,5) 21. Vertical asymptotes at x = -4 and x =-5 x intercepts at (4,0) and (-6,0) Horizontal asymptote at y = 7 22. Vertical asymptotes at x = -1 and x=7 x intercepts at (-5,0) and (2,0) Horizontal asymptote at y =-3 23. Vertical asymptote at x = -1 Double zero at x = 2 y intercept at (0,2) 24. Vertical asymptote at x = 4 Double zero at x = -1 y intercept at (0,3)Write a function for each graph. Answers will vary, but asymptote(s) and intercepts should be accurate. 6 - 5 41 -76 -5 4 32 25. 26. -7 27. 28. -7 6 - 5 - 4 -3 -2 29. 30