can you help with this Curve Sketching (Logarithmic Functions) question. thank you.

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\fCurve Sketching -Logarithmic Functions In ze f(x) = In(x2 -1) f' (x) = 2x x2 - 1 f" (x) = -2x2 - 2 (x2 - 1)2 A: Domain: X -170 7 26 71 =7 24 -1 or xx1 D: X E (-00, -1 ) U (1,co) B: Intercepts: y-int _ NIA x-int (-Vz, 0), (52, 0) let x=0 : In(0-1) = In(-1) undefined let y= 0 : In ( x21 ) = 0 e In (x2-1) 2-1 = 1 C: Asymptotes: x 2 = 2 . VAs: 2=-1 and x = 1 x = +12 + (-1.001) =-621 f ( 1.001 ) = - 6.21 No HAS (im f(2 ) = - 00 lim +(2 ) . No SAs 2 - 1+ = -0D D: Intervals of Increase/Decrease: Critical Numbers: f' ( x ) = 0 2x =0 = 2x =0 = 2020 hot in the domain! 2 2 - 1 . . No untical #'s E: Local Extrema: Classify any local extrema and find their y-values here we do not have any local extremna in this case.F: Intervals of Concavity: Critical Numbers: f" ( x ) = 0 - 2x-2 =0 -2x2-2=0 =7 -2x' = 2 = x -| no Real Solutions ( x 2 - 1)2 G: Points of Inflection: .. No critical # 's Find the y-values for any points of inflection. We do not have any points of Inflection in this case. H: Sketch bet