函數(shù)f(x)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng),它在區(qū)間[2,5]上單調(diào)遞增,則 f(-3)___f(-4)(填“>”或“<”),為什么?
函數(shù)f(x)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng),它在區(qū)間[2,5]上單調(diào)遞增,則
f(-3)___f(-4)(填“>”或“<”),為什么?
函數(shù)f(x)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng),它在區(qū)間[2,5]上單調(diào)遞增,則
f(-3)__>_f(-4)
∵函數(shù)f(x)在區(qū)間[2,5]上單調(diào)遞增,
∴f(3)
∵函數(shù)f(x)的圖像關(guān)于原點(diǎn)對(duì)稱(chēng),
∴函數(shù)f(x)為奇函數(shù),
∴f(-3)= -f(3),f(- 4)= -f(4),
即f(3)= -f(-3),f(-4)= -f(-4),
由f(3)
-f(-3)<-f(-4),
∴f(-3)>f(-4),