Hướng dẫn giải Hoạt động 4 (Trang 33 SGK Toán Giải tích 12)

Đề bài Khảo sát sự biến thiên và vẽ đồ thị của hàm số <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn></math>. Bằng đồ thị, biện luận theo <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math> số nghiệm của phương trình <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>=</mo><mi>m</mi></math>. Lời giải chi tiết * Khảo sát sự biến thiên và vẽ đồ thị của hàm số <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mn>2</mn><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mo>.</mo></math> 1.TXĐ: <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi mathvariant="normal">ℝ</mi></math>. 2. Sự biến thiên: <math xmlns="http://www.w3.org/1998/Math/MathML"><munder><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mo>+</mo><mo>∞</mo></mrow></munder><mi>y</mi><mo>=</mo><mo>-</mo><mo>∞</mo><mspace linebreak="newline"></mspace><munder><mi>lim</mi><mrow><mi>x</mi><mo>→</mo><mo>-</mo><mo>∞</mo></mrow></munder><mi>y</mi><mo>=</mo><mo>-</mo><mo>∞</mo></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>-</mo><mn>4</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi></math>. Cho <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>'</mo><mo>=</mo><mn>0</mn><mo>⇒</mo><mi>x</mi><mo>=</mo><mn>0</mn></math> hoặc <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>±</mo><mn>1</mn><mo>.</mo></math> Bảng biến thiên <img 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" width="683" height="200" /> Hàm số đồng biến trên: <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>-</mo><mo>∞</mo><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo><mo>;</mo><mo> </mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo><mo>.</mo></math> Hàm số nghịch biến trên: <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo><mo>;</mo><mo> </mo><mo>(</mo><mn>1</mn><mo>,</mo><mo>+</mo><mo>∞</mo><mo>)</mo></math><span id="MathJax-Element-11-Frame" class="mjx-chtml MathJax_CHTML" style="margin: 0px; padding: 1px 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>(</mo><mrow class="MJX-TeXAtom-ORD"><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mn>0</mn></mrow><mo>)</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mrow class="MJX-TeXAtom-ORD"><mo>;</mo></mrow></mrow><mrow><mo>(</mo><mrow class="MJX-TeXAtom-ORD"><mn>1</mn><mo>,</mo><mo>+</mo><mi mathvariant="normal">&#x221E;</mi></mrow><mo>)</mo></mrow><mo>.</mo></math>"><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>.</mo></math> Hàm số đạt cực đại bằng 4 tại  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mn>1</mn></math> và <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>1</mn></math>. Hàm số đạt cực tiểu bằng 3 tại <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>0</mn></math>. Đồ thị <img src="https://img.loigiaihay.com/picture/2018/0905/bai-5-trang-36-3.PNG" alt="" width="232" height="233" /> <img class="wscnph" style="max-width: 100%;" src="https://static.colearn.vn:8413/v1.0/upload/library/26072023/screenshot_1690362552-DJLhJ1.png" />

Xem lời giải bài tập khác cùng bài

Lý thuyết Khảo sát sự biến thiên và vẽ đồ thị của hàm số