f(X)=log1/3[3-(x-1)平方],求f(x)的值域及单调区间.1/3是在log右下角的.求好人帮下忙啦!
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![f(X)=log1/3[3-(x-1)平方],求f(x)的值域及单调区间.1/3是在log右下角的.求好人帮下忙啦!](/uploads/image/z/13909759-7-9.jpg?t=f%28X%29%3Dlog1%2F3%5B3-%28x-1%29%E5%B9%B3%E6%96%B9%5D%2C%E6%B1%82f%28x%29%E7%9A%84%E5%80%BC%E5%9F%9F%E5%8F%8A%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4.1%2F3%E6%98%AF%E5%9C%A8log%E5%8F%B3%E4%B8%8B%E8%A7%92%E7%9A%84.%E6%B1%82%E5%A5%BD%E4%BA%BA%E5%B8%AE%E4%B8%8B%E5%BF%99%E5%95%A6%21)
f(X)=log1/3[3-(x-1)平方],求f(x)的值域及单调区间.1/3是在log右下角的.求好人帮下忙啦!
f(X)=log1/3[3-(x-1)平方],求f(x)的值域及单调区间.
1/3是在log右下角的.求好人帮下忙啦!
f(X)=log1/3[3-(x-1)平方],求f(x)的值域及单调区间.1/3是在log右下角的.求好人帮下忙啦!
零和负数无对数,3-(x-1)平方>0
定义域1-√3<x<1+√3
0< 3-(x-1)平方 ≤3
-1≤log1/3[3-(x-1)平方]≤+∞
值域【-1,+∞)
3-(x-1)^2在定义域内单调增时,f(x)单调减,故单调减区间(1-√3,1)
3-(x-1)^2在定义域内单调增时,f(x)单调减,故单调增区间(1,1+√3)
单调减区间(1-√3,1)
单调增区间(1,1+√3)