Question 4 Given the following Case 2 rational function, QUESTION 1 For each of the following rational f owing rational functions, state the case and the equations of the asymptotes, by inspection only. For the case classification, enter 1 or 2 or 3 or 4. For the asymptotes, enter the equation(s) with no spaces (for example x=2 for one asymptote or x=-1,x=3 with no spaces if there is more than one asymptote, in the left to right order). If there is no horizontal or no vertical asymptote, enter none. r (x ) = _ x2 + 4x - 12 f(x)- 3X+1 Case: x- - 4 3x2 - 3 Vertical Asymptote(s): Horizontal Asymptote: Identify the matching response for each of the following graph characteristics. f(x) - 3x-+1 Case x2 - 4 Vertical Asymptote(s): - Coordinates of y-intercept A. (0,4) Horizontal Asymptote: - Coordinates of x-intercept(s) B. (-1,0) , (1,0) f (x ) = 2-x - vEquation(s) of the Vertical Asymptote(s) C. (0,-4) - Equation of the Horizontal Asymptote D. y = 1/3 Vertical Asymptote(s): Horizontal Asymptote: -Points that sit on the Horizontal Asymptote E. x = -1 , X = 1 f(x ) = x5 - 1 F. (11/4 , 1/3) Case G. 1/3 Vertical Asymptote(s): H. X = -6 , X = 2 Horizontal Asymptote: I. none exists f(x)= 2x+1 Case: J. (-6,0) , (2,0) x2 + 4 Vertical Asymptote(s): Horizontal Asymptote: QUESTION 5 Given the following Case 2 rational function, QUESTION 2 Given the following Case 1 rational function. f (x) = - X - 2 x + 4 g(x) - x2 - 1 Identify the matching response for each of the following graph characteristics. Simplify the right side of the function to a single fraction. Then, identify the matching response for each of the following graph characteristics. .Coordinates of y-intercept A. x = 1 - v Coordinates of x-intercept(s) B. none exists - Coordinates of y-intercept A. (0,-1/4) .Equation(s) of the Vertical Asymptote(s) C. (0,-3) - Coordinates of x-intercept(s) B. (-2,0) , (-1,0) . Equation of the Horizontal Asymptote D.X = -1 , x = 1 E. (-1,0) [-Equation(s) of the Vertical Asymptote(s) C.X= -10 F. y= 0 -Equation of the Horizontal Asymptote D. y = 1 G.O - Points that sit on the Horizontal Asymptote E. (-10,1) F. x = -4 , X=2 QUESTION 3 I Ant G. X = 1 Given the following Case 1 rational function, H. (0,0) I. (0,-4) f( x ) = _ - J. none exists x+ 1 Simplify the right side to a single fraction. Then, identify the matching response for each of the following graph characteristics. - Coordinates of y-intercept A. none exists - Coordinates of x-intercept(s) B. (0,0) -Equation(s) of the Vertical Asymptote(s) C. y = 0 Equation of the Horizontal Asymptote D. (2,0) E. (-1,0) F. x = -1 , X=0 G.y = -1 , y=0