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Gaokao Math Practice Question

函数 $f(x)$ 在 $(-\infty,+\infty)$ 单调递减, 且为奇函数. 若 $f(1)=-1$, 则满足 $-1 \leqslant f(x-2) \leqslant 1$ 的 $x$ 的取值范围是 ($\qquad$)

  1. A.$[-2,2]$
  2. B.$[-1,1]$
  3. C.$[0,4]$
  4. D.$[1,3]$

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