<prompt> Grafu ya yfx ya -3le xle 3 imeonyeshwa hapa chini. Kwa muda huu, ni aina gani ya fx-x? Eleza jibu lako kwa nukuu ya muda.asyukubwa 150;ticklen halisi3;nafasi halisi ya tiki2;urefu halisi 0.1cm;saizi halisi ya mshale0.14cm;mhimili wa kalamunyeusi1.3bp;vectorarrowsize halisi0.2cm;tickdown halisi-0.5;tickdownlength halisi-0.15inch;halisi tickdownbase0.3;tickdown halisitickdown;utupu rr_cartesian_axesxleft halisi, xright halisi, ybottom halisi, ytop halisi, xstep1, ystep1, bool useticksfalse, bool complexplanefalse, bool usegridtrue kuagiza grafu;mimi halisi;ikiwacomplexplane lebotextnormalRe,xright,0,SE;lebotextnormalIm,0,ytop,NW; nyengine lebox,xright0.4,-0.5;leboy,-0.5,ytop0.2;ylimitsybottom,ytop;xlimits xleft, xright;halisi TicksArrx,TicksArry;kwaixleftxstep; i0.1 TicksArrx.pushi;kwaiybottomystep; i0.1 TicksArry.sukumai;ikiwa tumia gridi xaxisBottomTopextendfalse, Ticks, TicksArrx ,pTickgray0.22,extendtrue,pisiyoonekana;,juukweli;yaxisLeftRightextendfalse,Ticks, TicksArry ,pTickgray0.22,extendtrue, pinvisible;,mishale;ikiwa vijiti vya matumizi xequals0, yminybottom, ymaxytop, paxispen, Ticks,TicksArry , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, Ticks,TicksArrx , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize; nyengine xequals0, yminybottom, ymaxytop, pmhimili, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, juukweli, Mishalesizeaxisarrowsize;;rr_cartesian_axes-3,3,-3,3;chora-3,-3---2,-3,nyekundu1;chora-2,-2---1,-2,nyekundu1;chora-1,-1--0,-1,nyekundu1;chora0,0--1,0,nyekundu1;chora1,1--2,1,nyekundu1;chora2,2--3,2,nyekundu1;nukta -3,-3, nyekundu; nukta -2,-2, nyekundu; nukta -1,-1, nyekundu; nukta 0,0, nyekundu; nukta 1,1, nyekundu; nukta 2,2, nyekundu; nukta 3,3, nyekundu;nukta-2,-3,nyekundu,Usijaze; nukta-1,-2,nyekundu,Usijaze; nukta0,-1,nyekundu,Usijaze; nukta1,0,nyekundu,Usijaze; nukta2,1,nyekundu,Usijaze; nukta3,2,nyekundu,Usijaze;asy  <response>: Tunaweza kuweka juu juu grafu ya yx kwenye grafu ya yfx: asyukubwa 150;ticklen halisi3;nafasi halisi ya tiki2;urefu halisi 0.1cm;saizi halisi ya mshale0.14cm;mhimili wa kalamunyeusi1.3bp;vectorarrowsize halisi0.2cm;tickdown halisi-0.5;tickdownlength halisi-0.15inch;halisi tickdownbase0.3;tickdown halisitickdown;utupu rr_cartesian_axesxleft halisi, xright halisi, ybottom halisi, ytop halisi, xstep1, ystep1, bool useticksfalse, bool complexplanefalse, bool usegridtrue kuagiza grafu;mimi halisi;ikiwacomplexplane lebotextnormalRe,xright,0,SE;lebotextnormalIm,0,ytop,NW; nyengine lebox,xright0.4,-0.5;leboy,-0.5,ytop0.2;ylimitsybottom,ytop;xlimits xleft, xright;halisi TicksArrx,TicksArry;kwaixleftxstep; i0.1 TicksArrx.pushi;kwaiybottomystep; i0.1 TicksArry.sukumai;ikiwa tumia gridi xaxisBottomTopextendfalse, Ticks, TicksArrx ,pTickgray0.22,extendtrue,pisiyoonekana;,juukweli;yaxisLeftRightextendfalse,Ticks, TicksArry ,pTickgray0.22,extendtrue, pinvisible;,mishale;ikiwa vijiti vya matumizi xequals0, yminybottom, ymaxytop, paxispen, Ticks,TicksArry , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, Ticks,TicksArrx , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize; nyengine xequals0, yminybottom, ymaxytop, pmhimili, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, juukweli, Mishalesizeaxisarrowsize;;rr_cartesian_axes-3,3,-3,3;chora-3,-3--3,3,kijani1;chora-3,-3---2,-3,nyekundu1;chora-2,-2---1,-2,nyekundu1;chora-1,-1--0,-1,nyekundu1;chora0,0--1,0,nyekundu1;chora1,1--2,1,nyekundu1;chora2,2--3,2,nyekundu1;nukta -3,-3, nyekundu; nukta -2,-2, nyekundu; nukta -1,-1, nyekundu; nukta 0,0, nyekundu; nukta 1,1, nyekundu; nukta 2,2, nyekundu; nukta 3,3, nyekundu;nukta-2,-3,nyekundu,Usijaze; nukta-1,-2,nyekundu,Usijaze; nukta0,-1,nyekundu,Usijaze; nukta1,0,nyekundu,Usijaze; nukta2,1,nyekundu,Usijaze; nukta3,2,nyekundu,Usijaze;asyKisha fa-a ni umbali wima kutoka kwa kijani hadi grafu nyekundu kwa xa. Tunaweza kuona kwamba umbali huu unatofautiana kutoka 0 hadi 1, ikijumuisha 0 lakini si ya 1 kwa kuwa vitone matupu kwenye grafu ya yfx vinawakilisha pointi ambazo si sehemu ya grafu . Kwa kuwa fxle x kwa x zote, tunaona kwamba fx-x ni sufuri au hasi, na masafa yake ni -1,0. 