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7. (25 / 1015 5) (5 points) Find the critical numbers(s). Check 342 of two cases. BY (4 points) Find the domain in interval notation. F' lo) = 5 4x = 0 (Just write your answer.) X1 =0 - P, - 3)0(-3, 3)0(8,00) "'( ) DNE X 2- 9 = 0 * = 3 Or - 3 () (2 points) Find the horizontal asymptote(s): (Just write your answer.) Critical number 323 x= 0 9 =- 3 () (2 points) Find the vertical asymptote(s). (Just write your answer.) X = - 3 1x =+3 (8 points ) Compute f'(I) and simplify. (2) =- 6x ( x2 9) - (-3x2 2x ( (1 point) Find all (open) intervals where f is in- creasing. (Just write your answer.) ( x 2 -9 ) 3, 09 (2) = -6x3 +54x +6x 3 (0) 3) 0(3, 0 ) (g) (1 point) Find all (open) intervals where f is de- (x 2 - 9 ) 2 creasing. (Just write your answer.) (20 ) = 54X ( x2 - 9)2 ( - 20 , - 3 ) 0 (- 3, 0 ) (b) (1 point) Find all local minimum value(s). If there is no local minimum value, write DNE. (Just writ your answer.) Mininum EDNE (i) (1 point) Find all local maximum value(s). If the is no local maximum value, write DNE. (Ju write your answer. maximum = 0