Kuta Software - Infinite Algebra 2 Name_ Graphing Rational Functions Date_ Period_ Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of each. 1) f (x) = 2 ) f ( x ) = _ 3x2 + 3x - 18 x - 4 x- + x - 6 3 ) f ( x ) = - x' - x - 6x 4) f ( x ) =- -3x2 - 3x + 18 4x2 - 16x - 12 Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then sketch the graph. 4 x-4 5) f (x ) = - 6) f (x) =- x- - 3x -4x - 16 *+4 x' - 9x 7) f ( x) = - 8) f (x ) = -2x - 6 3x2 - 6x - 9 -1- MHF4U: Oblique Asymptotes For each function, determine the equation of the oblique asymptote and sketch a graph of the function. Clearly indicate all intercepts and discontinuities in each function. 1. f ( x)= 1-4 x+1 4. f(x)=-x+3x-2x 2. g(x) _x -3x+2 x-x-2 x-3 5. g(x)x -x-4x+4 3. h( x)= X-7x+6 x -2x-3 X +x-2 6. hx= X-x X"-x-6