指數(shù)不同對y=eq\f(68x?,57x2+183)的五個圖像及性質對比圖表分析詳解函數(shù)名稱函數(shù)定義域函數(shù)值域y?=eq\f(68,57x2+183)(-∞,+∞)(0,eq\f(68,183)]y?=eq\f(68x,57x2+183)(-∞,+∞)(-∞,+∞)y?=eq\f(68x2,57x2+183)(-∞,+∞)[0,eq\f(68,57))y?=eq\f(68x3,57x2+183)(-∞,+∞)(-∞,+∞)y?=eq\f(68x?,57x2+183)(-∞,+∞)[0,+∞)函數(shù)名稱函數(shù)單調性函數(shù)凸凹性y?=eq\f(68,57x2+183)(1)當x≥0時,y?為減函數(shù)；(2)當x<0時,y?為增函數(shù)。(1)當x∈(-∞,-1.03)，(1.03,+∞)時,y?為凹函數(shù)；(2)當x∈[-1.03,1.03]時,y?為凸函數(shù)。y?=eq\f(68x,57x2+183)(1)當x∈(-∞,-1.79)∪(1.79,+∞)時,y?為減函數(shù)；(2)當x∈[-1.79,1.79]時,函數(shù)y?為增函數(shù)。(1)當x∈[-3.10,0]∪(3.10,+∞),y?為凹函數(shù)；(2)當x∈(-∞,-3.10)∪(0,3.10]時,y?為凸函數(shù)。y?=eq\f(68x2,57x2+183)(1)當x≥0時，函數(shù)y?為增函數(shù)；(2)當x<0時，函數(shù)y?為減函數(shù)。(1)當x∈(-∞,-1.03)，(1.03,+∞)時,y?為凸函數(shù)；(2)當x∈[-1.03,1.03]時,y?為凹函數(shù)。y?=eq\f(68x3,57x2+183)y?在定義域上為單調增函數(shù)。(1)當x∈[-3.10，0]∪(3.10,+∞)時,y?為凸函數(shù)；(2)當x∈(-∞,-3.10)∪(0,3.10]時,y?為凹函數(shù)。y?=eq\f(68x?,57x2+183)(1)當x≥0時，y?為增函數(shù)；(2)當x<0時，y?為減函數(shù)。函數(shù)y?在定義域上為凹函數(shù)。函數(shù)名稱函數(shù)的駐點函數(shù)的拐點y?=eq\f(68,57x2+183)(0,eq\f(68,183))(-1.03,0.28)(1.03,0.28)y?=eq\f(68x,57x2+183)(-1.79,-0.33)(1.79,0.33)(-3.10,-0.29)(3.10,0.29)y?=eq\f(68x2,57x2+183)(0,0)(-1.03,0.296)(1.03,0.296)y?=eq\f(68x3,57x2+183)沒有駐點(-3.10,-2.772)(3.10,2.772)y?=eq\f(68x?,57x2+183)(0,0)沒有拐點函數(shù)名稱函數(shù)的極限函數(shù)的奇偶性y?=eq\f(68,57x2+183)Lim(x→-∞)y?=0Lim(x→+∞)y?=0Lim(x→0+)y?=eq\f(68,183)Lim(x→0-)y?=eq\f(68,183)y?為偶函數(shù)，圖像關于y軸對稱。y?=eq\f(68x,57x2+183)Lim(x→-∞)y?=0Lim(x→+∞)y?=0Lim(x→0+)y?=0Lim(x→0-)y?=0y?為奇函數(shù)，圖像關于原點對稱。y?=eq\f(68x2,57x2+183)Lim(x→-∞)y?=eq\f(68,57)Lim(x→+∞)y?=eq\f(68,57)Lim(x→0+)y?=0Lim(x→0-)y?=0y?為偶函數(shù)，圖像關于y軸對稱。y?=eq\f(68x3,57x2+183)Lim(x→-∞)y?=-∞Lim(x→+∞)y?=+∞Lim(x→0+)y?=0Lim(x→0-)y?=0y?為奇函數(shù)，圖像關于原點對稱。y?=eq\f(68x?,57x2+183)Lim(x→-∞)y?=+∞Lim(x→+∞)y?=+∞Lim(x→0+)y?=0Lim(x→0-)y?=0.y?為偶函數(shù)，圖像關于y軸對稱。函數(shù)名稱函數(shù)的圖像示意圖對稱軸點y?=eq\f(68,57x2+183)y軸y?=eq\f(68x,57x2+183)