9.1 a) Plot[{x^3-3x^2}, {x, -2, 4}] d) Plot x/ln x 9.2 a) plot x^3-6x^2+12x+4 b) plot 3/(x-4) d) plot x^2(lnx-0.5) e) plot e^(-x^2) 9.3 a) plot -arctan x -1 b) plot 1/e-e^(-x) c) plot 1-arctan x 9.4 b) plot[{8x^2-x^4, 16},{x,-4,4}] e) plot[{x*(ln x)^2, 4/e^2},{x,-1,2}] g) plot[{sqrt(2x^3+3x^2), 1},{x,-2,2}] h) plot x-arctan x j) plot[{ln(x^4+4x^3+30), ln 3},{x,-5,5}] k) Plot[Piecewise[{{ln -x, x < 0}, {ln x, x > 0}}], {x, -2, 2}] 9.5 a&b) plot[{x^2-2x+3, 2, 18},{x,0,5}] c) plot[{x^3-3x+1, -1, 19},{x,-2,3}] d) plot[{x-ln x, 1, e-1},{x,1/e,e}] e) plot[{(sin x)^2,1},{x,-pi,pi}] h) plot[{x/(1+x^2),1/2,-1/2},{x,-2,2}] roots x/(1+x^2) solve x/(1+x^2)> 0 solve x/(1+x^2)< 0 monotonicity x/(1+x^2) points of inflection x/(1+x^2) extrema x/(1+x^2) asymptotes x/(1+x^2) 9.7 plot[{4x(6-x)(4-x),640/27+sqrt(7)*448/27},{x,-1,10}] 9.8 plot 3p^2-35/4p^3, 64/1225 9.9 plot 1*x^2*(1-x), 4/27 9.12 b) asymptotes x^2/(x^2-4) f) asymptotes 2x-(cos x) / x 9.13 b) asymptotes (4x+4)/x^2 f) asymptotes sqrt|x^2-2x| Kruus plot[{pi*x^2+2/x,3*(pi)^(1/3)},{x,-2,2}]