Question

Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph. Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) x? 9(x) - 9 horizontal asymptote y = vertical asymptote

Answer 1

soil given ga) 23 x²9 slope of tangent of function goy Slope = g(x) = Ge?-9).3x?- X3 (2x) (2²gJ2 il 324_272²_2204 2-92 i x4-2782 (x²992 - x? (x2-27)=0 OD X=0 or 22-2720 x==363 and n= 323 f'e) >01 - 303 goe) is 383 increasing on goal is del reasing on and (353,00) 600,-353) (-315,33)

For ved vartical asymptotes put denomenator equal to Zero e²g = x²=9 7 x 13 vertical asymptotes is x=-3 and x=3 Does not exist Horizantal asymptotes becousse degree of degree of of numerator denominator is higher than graph 18 -323 +7 -3 353