Câu hỏi :

Hàm số \(y = \left| {x + 1} \right| + \left| {x - 3} \right|\) được viết lại là:

A. \(y = \left\{ \begin{array}{l} - 2x + 2\,\,\,\,khi\,\,\,\,x \le - 1\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,\,\, - 1 < x \le 3\\ 2x - 1\,\,\,\,\,\,\,khi\,\,\,\,x > 3 \end{array} \right.\)

B. \(y = \left\{ \begin{array}{l} 2x - 2\,\,\,\,\,\,\,khi\,\,\,\,x \le - 1\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,\, - 1 < x \le 3\\ - 2x + 2\,\,\,khi\,\,\,x > 3 \end{array} \right.\)

C. \(y = \left\{ \begin{array}{l} 2x + 2\,\,\,\,\,\,\,\,khi\,\,\,\,x \le - 1\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,\, - 1 < x \le 3\\ - 2x - 2\,\,\,\,khi\,\,\,\,\,x > 3 \end{array} \right.\)

D. \(y = \left\{ \begin{array}{l} - 2x + 2\,\,\,\,khi\,\,\,x \le - 1\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,\,\, - 1 < x \le 3\\ 2x - 2\,\,\,\,\,\,khi\,\,\,\,x > 3 \end{array} \right.\)

* Đáp án

D

* Hướng dẫn giải

\(y = \left| {x + 1} \right| + \left| {x - 3} \right| \\= \left\{ \begin{array}{l} - x - 1 - x + 3\,\,\,khi\,\,\,x \le - 1\\ x + 1 - x + 3\,\,\,\,\,\,khi\,\,\,\, - 1 < x \le 3\\ x + 1 + x - 3\,\,\,\,\,\,khi\,\,\,\,x > 3 \end{array} \right. \\ = \left\{ \begin{array}{l} - 2x + 2\,\,\,khi\,\,\,x \le - 1\\ 4\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,khi\,\,\,\, - 1 < x \le 3\\ 2x - 2\,\,\,\,\,\,khi\,\,\,\,x > 3 \end{array} \right.\)

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Đề thi HK1 môn Toán 10 năm 2020 trường THPT Hoàng Hoa Thám

Số câu hỏi: 40

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