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已知函数eqId449445d809a44b31a12bb01f19f99272是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,且当eqId981680e62d3a427c9d237c5769d0f8a1时,eqIde2b47e0d260345d69407b70100b9f9ca.
(1)求函数eqId449445d809a44b31a12bb01f19f99272的解析式;
(2)若函数在eqIdfda23d2e204b4831ab1a91f50097f553上单调递增,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
根据定义,判断下列函数的奇偶性:
(1)eqIdd8ff6b4542ff490ba6bbdf8bfdfc6a30;(2)g(x)=x4+2;
(3)eqId0528d3c2218e4f3e83f8df58161b3d25;(4)eqId0a9ddbff43dd4795a08fc3f9c8271c3d.
根据定义,判断下列函数的奇偶性:
(1)eqId1612d604db784c9ba85ca487b9bab914
(2)eqIdd32f230238c8412291b0f59718e61eb1
(3)eqId7d92bd4e18704acb8fbdebbe730d2969
(4)eqId08826290b6f34f1aa4844e11da057dda.
同步
画出函数f (x)=x3的图象,并观察它的对称性.
设函数eqIdac11a9cc5cda488cafc1b3ae96403c1e,证明:当eqIda4c057d1931e4a3387b533879a365e96时,函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId47bb553718a644a9aba68733ad08312a上是减函数.
已知定义在区间eqIddca4c31f92e1447fb6eceb9fdf294175上的函数eqId4837c94ef0ff4dcf9b1dda4df363275a,满足:
i)对任意eqId2de8a7367397479c92c8000debe59227,都有eqId95cba1af0e0748ebb69769f185122ceeii)当eqId019eb4eafcd3437687c20df94a683e0f时,eqId6037963c390547f4b194ba806a9eff55.
①判断并证明eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqIddca4c31f92e1447fb6eceb9fdf294175上的单调性;
②解关于eqId70a27b6ddf6b478285353abb3b1f3741的不等式eqId8d5b5742056049788ad08e736cebe655.
同步
函数eqId2f563e2a16bf496e9146ef536c88bd7deqId7dcd2312d0bf4bb1befdfcc170e45791上单调递增,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围
试用定义证明:函数eqId17f28a8e1c164f61bfc3c5509ba94a74在区间eqId77d946a105a24f62b120895d662a668a上是减函数,在区间eqIdde46290baec04ea1a59331d8d94f28df上是增函数.
解题方法
|同步
根据函数图象直观判断eqId4b1ab076905a478ea50a89c426fa0b18的单调性.