共50条信息
已知函数\(y={\log }_{ \frac{1}{2}}\left({x}^{2}-1\right) \)的单调递增区间为_________.
已知函数\(f(x)=\left( \left. \dfrac{1}{3} \right. \right)^{ax^{2}-4x+3} \).
\((1)\)若\(a=-1\),求\(f(x)\)的单调区间;
\((2)\)若\(f(x)\)有最大值\(3\),求\(a\)的值.
已知函数\(f(x)\)是\(R\)上的奇函数,若\(f(x)\)在\((0,+∞)\)上单调递增,且\(f(2)=0\),则\(f(x-2) > 0\)的解集为
.已知函数\(f\)\((\)\(x\)\()\)\(=\)\( \sqrt{{x}^{2}-2x-3} \),则该函数的单调递增区间为\((\) \()\)
函数\(f(x)=\ln (x^{2}-2x-8)\)的单调递增区间是\((\) \()\)
函数\(y={{\log }_{\frac{1}{2}}}\left( -{{x}^{2}}+2x \right)\)的单调递增区间是 .
若当\({{a}_{0}}\)时,函数\(f\left( x \right)={{a}^{\left| x \right|}}\)始终满足\(0 < \left| f\left( x \right) \right|\leqslant 1\),则函数\(y={lo}{{{g}}_{a}}\left| \dfrac{1}{x} \right|\)的图象大致为\((\) \()\)
函数\(f(x)=\begin{cases}{\log }_{2}(1-x)+1,-1\leqslant x < 0 \\ {x}^{3}-3x+2,0\leqslant x\leqslant a\end{cases} \)的值域是\([0,2]\),则实数的范围是( )
函数\(f\left(x\right)={\left( \dfrac{1}{3}\right)}^{-{x}^{2}-4x+3} \)的单调递减区间为 ______ .
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