畫出函數(shù)y=x2-x-6的絕對值的圖像
解析:∵函數(shù)y=|x^2-x-6|=|(x-1/2)^2-25/4|
∴當(dāng)(x-1/2)^2-25/4=0==>x1=-2,x2=3
即當(dāng)x1=-2,x2=3時,函數(shù)y=0
當(dāng)x1≠-2,x2≠3時,函數(shù)y>0
![](http://g.hiphotos.baidu.com/zhidao/wh%3D600%2C800/sign=eaef28a801e93901565785384bdc78df/6c224f4a20a446239fc135ea9822720e0cf3d72b.jpg)
當(dāng)x>0時,y=(x-0.5)2+25/4 當(dāng)x≤0時 y=(x+1/2)2+25/4 不對!應(yīng)該為:∵函數(shù)y=|x^2-x-6|=|(x-1/2)^2-25/4|當(dāng)(x-1/2)^2>25/4,即x<-2或x>3時,y=(x-1/2)^2-25/4當(dāng)(x-1/2)^2<=25/4,即-2<=x<=3時,y=25/4-(x-1/2)^2