英數兩全字詞教學

106   反函數 Inverse Function

1. long x   \(\ln x\)

2. swap x and y   對調 \(x\) 和 \(y\)

3. bijective / bijection   雙射（形容詞、名詞）

4. natural domain   自然定義域

5. continuous function   連續函數

6. strictly increasing   嚴格遞增

7. strictly decreasing   嚴格遞減

8. horizontal line test   水平線檢驗

9. vertical line test   鉛直線檢驗

10. one-to-one and onto   一對一且映成

11. The inverse of f inverse is f.   \(f^{-1}\) 的反函數是 \(f\)

12. The set of real numbers x such that f of x exists.   \(\{x\in \mathbb{R}\ \mid f(x)\text{ exists}\}\)

13. The inverse of f exists if and only if f is bijective or f is a bijection.   若且唯若 \(f\) 是雙設函數，則 \(f\) 有反函數。

14. The vertical lines intersect the curve in at most one point.   曲線與鉛直線至多只有一個交點。

15. The graphs of inverse functions are symmetric about the line y is equal to x.   函數與其反函數的圖形對稱於 \(y=x\) 直線