共50条信息
在同一直角坐标系中,函数\(f\left(x\right)={x}^{a}\left(x\geqslant 0\right),g\left(x\right)={\log }_{a}x \)的图像可能是\((\) \()\)
设\(a={{0.6}^{0.6}}\),\(b={{0.6}^{1.5}}\),\(c={{1.5}^{0.6}}\),则\(a\),\(b\),\(c\)的大小关系是( )
函数\(f(x){=}(m^{2}{-}m{-}1)x{{ }}^{m^{2}{+}m{-}3}\)是幂函数,且当\(x{∈}(0{,}{+∞})\)时\(f(x)\)是减函数,则实数\(m{=}\) ______ .
已知幂函数\(f(x)=k{{x}^{\alpha }}\)的图像经过点\((\dfrac{1}{2},\dfrac{\sqrt{2}}{2})\),则\(k+α= \)_________.
若幂函数\(f\left(x\right)=\left({n}^{2}+2n+1\right){x}^{2n+3}\left(n∈Z\right) \)定义域为\(R\),则\(n\)的值为_____
\(10.\)设\(a={{0.6}^{\frac{1}{2}}}\),\(b={{0.5}^{\frac{1}{4}}}\),\(c=\lg 0.4\),则( )
已知幂函数\(f(x)=({{m}^{2}}-5m+7){{x}^{m-1}}\)为偶函数.
\((1)\)求\(f(x)\)的解析式;
\((2)\)若\(g(x)=f(x)-ax-3\)在\(\left[ 1,3 \right]\)上不是单调函数,求实数\(a\)的取值范围.
若\(f(x)\)是幂函数,且满足\(\dfrac{f(4)}{f(2)}=4\),则\(f(\dfrac{1}{2}) =\) .
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