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Project: MTH161
Views: 1052

We draw the graph of axa^x for different aa.

@interact(layout=[['ar'],['f1','f2','f3','f4'],['f8','f7','f6','f5'],['b'],['diagonal']]) def _(ar=1/4,b=range_slider(-5, 5, 0.5, default=(-2,2), label='Range'),f1=checkbox(false,"$1.3^x$"),f2=checkbox(false,"$1.5^x$"),f3=checkbox(true,"$2^x$"),f4=checkbox(true,"$3^x$"),f8=checkbox(false,"$1.3^{-x}$"),f7=checkbox(false,"$1.5^{-x}$"),f6=checkbox(true,"$2^{-x}$"),f5=checkbox(true,"$3^{-x}$"),diagonal=checkbox(false,"$x=y$")): g=[] p1=plot((1.3)^x,b[0],b[1],rgbcolor=(1,0,0),aspect_ratio=ar)+text("$1.3^x$",(1,1.3),color='black') p2=plot((1.5)^x,b[0],b[1],rgbcolor=(255/255,171/255,0),aspect_ratio=ar)+text("$1.5^x$",(1,1.5),color='black') p3=plot(2^x,b[0],b[1],rgbcolor=(1,210/255,0),aspect_ratio=ar)+text("$2^x$",(1,2),color='black') p4=plot(3^x,b[0],b[1],rgbcolor=(37/255,155/255,24/255),aspect_ratio=ar)+text("$3^x$",(1,3),color='black') p5=plot(3^(-x),b[0],b[1],rgbcolor=(42/255,161/255,185/255),aspect_ratio=ar)+text("$3^{-x}$",(-1,3),color='black') p6=plot(2^(-x),b[0],b[1],rgbcolor=(42/255,80/255,155/255),aspect_ratio=ar)+text("$2^{-x}$",(-1,2),color='black') p7=plot((1.5)^(-x),b[0],b[1],rgbcolor=(11/255,55/255,193/155),aspect_ratio=ar)+text("$1.5^{-x}$",(-1,1.5),color='black') p8=plot((1.3)^(-x),b[0],b[1],rgbcolor=(194/255,79/255,212/155),aspect_ratio=ar)+text("$1.3^{-x}$",(-1,1.3),color='black') D=plot((x),b[0],b[1],color='black') if f1: g.append(p1) if f2: g.append(p2) if f3: g.append(p3) if f4: g.append(p4) if f5: g.append(p5) if f6: g.append(p6) if f7: g.append(p7) if f8: g.append(p8) if diagonal: g.append(D) show(sum(g),aspect_ratio=ar,ymax=8)
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