對(duì)于二次函數(shù)f(x)=x^2+ax+5對(duì)于任意t都有f(t)=f(-4-t),且在閉區(qū)間[m,0]上有最大值5,最小值1,則m的取值范圍是_____答案是-4≤m≤-2
熱心網(wǎng)友
設(shè)t＝０，即f(0)＝f(-4)=a=4.可以知道該函數(shù)的最小值為１，當(dāng)x＝－２時(shí)．故由該函數(shù)的圖象可以知道m(xù)＜＝－２，當(dāng)f(x)＝５時(shí)，m＝－４，所以答案為-4<=m<=-2
對(duì)于二次函數(shù)f(x)=x^2+ax+5對(duì)于任意t都有f(t)=f(-4-t),且在閉區(qū)間[m,0]上有最大值5,最小值1,則m的取值范圍是_____答案是-4≤m≤-2
設(shè)t＝０，即f(0)＝f(-4)=a=4.可以知道該函數(shù)的最小值為１，當(dāng)x＝－２時(shí)．故由該函數(shù)的圖象可以知道m(xù)＜＝－２，當(dāng)f(x)＝５時(shí)，m＝－４，所以答案為-4<=m<=-2