Definition 11.3 High School Mathematics · 第 11 章 — Functions and Variations x↦x2 (square),x↦x3 (cube),x↦x,x↦1x,x↦∣x∣.x \mapsto x^2 \text{ (square)}, \quad x \mapsto x^3 \text{ (cube)}, \quad x \mapsto \sqrt{x}, \quad x \mapsto \frac{1}{x}, \quad x \mapsto \abs{x}.x↦x2 (square),x↦x3 (cube),x↦x,x↦x1,x↦∣x∣. Their domains are R\RR, R\RR, [0, +∞)\intco{0}{+\infty}[0,+∞), R∖{0}\R \setminus \{0\}R∖{0} and R\RR respectively. The curve of x↦1xx \mapsto \frac1xx↦x1 is a hyperbola. The five reference curves: the parabola x2x^2x2 and the cube x3x^3x3 (left); x\sqrt xx, ∣x∣\abs x∣x∣ and the hyperbola 1x\frac1xx1 (right). 在原文中阅读 →