Cho hàm số
có bảng biến thiên:

Khẳng định nào sau đây là sai?
Cho hàm số có bảng biến thiên:
Khẳng định nào sau đây là sai?
A. Hàm số không có giá trị lớn nhất và có giá trị nhỏ nhất bằng .
B. Hàm số có hai điểm cực trị.
C. Đồ thị hàm số có hai tiệm cận ngang.
D. Hàm số có giá trị lớn nhất bằng và giá trị nhỏ nhất bằng
.
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
- Hàm số đạt cực đại tại $x = 0$ và $y_{CD} = 3$
- Hàm số đạt cực tiểu tại $x = 2$ và $y_{CT} = -1$
- $\lim_{x \to \pm \infty} f(x) = + \infty$ nên hàm số không có GTLN.
Vậy, khẳng định "Hàm số không có giá trị lớn nhất và có giá trị nhỏ nhất bằng $\Large -1$" là sai, vì hàm số không có giá trị lớn nhất nhưng có giá trị cực tiểu bằng $\Large -1$ và cũng không có giá trị nhỏ nhất.
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Cách mạng 4.0 giúp trồng trọt:
Read the following passage about the history of media and mark the letter A, B, C, or D to indicate the correct answer to each of the questions
In today’s world, we have different kinds of media available to us at all times. [I] However, did you know that the history of media actually goes back millennia? [II] By this definition, we can say with confidence that human beings created the first type of media around 64,000 years ago when we first began painting simplistic symbols on the walls of caves. [III] Since then, the more we have evolved, the more advanced our media have become. [IV]
According to experts, it was sometime around 3,400 BC when human beings first began utilising written language as a means of communication. For generations, apart from verbal communication, they had to write everything manually until the mid-1440s. It was Johannes Gutenberg who revolutionised media when he created an invention called the printing press. This marked the beginning of what we now call ‘mass media’: Gutenberg’s innovative invention made print media like books, newspapers and magazines at a large scale and much information with a wider audience than ever before.
Several hundred years after the invention of the printing press, during the 19th century, we created cameras and later, the radio. The invention of the radio began the age of broadcast media, and the development of television swiftly followed it. This allowed many people to watch fascinating movies, programmes and documentaries, all of which remain popular today.
In the 2000s, we saw the rise of digital media. Now, we visit web pages, listen to podcasts, stream music and communicate on social media using our smartphones. We even use QR codes to share information instantly. We have come a long way, and so have the ways we communicate!
Which of the following best summarises paragraph 3?
PHẦN I. Câu trắc nghiệm nhiều phương án lựa chọn. Thí sinh trả lời từ câu 1 đến câu 18. Mỗi câu hỏi thí sinh chỉ chọn một phương án.
Thuỷ phân triglyceride trong dung dịch NaOH, thu được muối có tên gọi nào sau đây?
Điểm cực đại của đồ thị của hàm số là?
- Trong không gian với hệ tọa độ
, mặt cầu có tâm
và bán kính 4 có phương trình là:
Read the following passage about the Pathways from Today's Actions to Tomorrow's World and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
As we stand at the crossroads of environmental decision-making, the actions we take today will shape our world in 2050. Scientists warn that we're skating on thin ice with current consumption patterns and carbon emissions. Global temperatures could rise by 2-4 degrees Celsius unless significant changes occur within the next decade. Many countries have pledged to achieve carbon neutrality by 2050, but these promises require immediate implementation. Individual choices in transportation, energy usage, and consumption can collectively influence whether future generations inherit a sustainable planet or face severe climate consequences.
[I] Technological innovation represents our greatest hope for addressing environmental challenges by 2050. [II] Renewable energy sources like solar and wind are becoming increasingly affordable, potentially replacing fossil fuels entirely within thirty years. [III] Electric vehicles may dominate transportation networks, while vertical farming could transform food production in urban areas. [IV] However, these technological solutions must be developed and deployed equitably to avoid creating new disparities between wealthy and developing nations.
Social structures will undergo dramatic transformation by 2050 as demographic shifts reshape communities worldwide. Aging populations in developed countries will necessitate new approaches to healthcare, retirement, and social support systems. Meanwhile, climate migration may force millions to relocate from vulnerable coastal and drought-prone regions. Education systems must evolve to prepare our students for jobs that don't yet exist, emphasizing their adaptability and lifelong learning. Cities will need to become more resilient, incorporating green spaces and sustainable infrastructure to support growing populations.
Economic models must fundamentally change by 2050 to balance prosperity with environmental responsibility. The traditional focus on continuous growth may shift toward measuring success through wellbeing indicators rather than GDP alone. Circular economy principles will likely replace linear production models, with products designed for reuse and recycling. Resource-sharing platforms may become more prevalent, reducing individual consumption while maintaining living standards. Companies implementing genuinely sustainable practices will thrive, while those clinging to environmentally harmful methods may disappear entirely. The transition presents both challenges and opportunities for businesses willing to embrace innovation and sustainability.
Which of the following is NOT mentioned as a potential change by 2050?
Hình vẽ nào sau đây có phần không bị gạch biểu diễn cho tập \(A=\{x\in \mathbb{R}\,\text{ }\!\!|\!\!\text{ }\,3x-1\ge 2\text{ }\!\!\}\!\!\text{ }\)?
Trong các thiết bị dưới, thiết bị nào là thiết bị thông minh?
Read the following passage about food addiction and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Few people would disagree that one of the world's most popular dishes is pizza. Twenty-two-year-old Zack certainly wouldn't. He would eat a variety of pizza-based items, including homemade pizza, precooked microwave pizza, and even pizza leftovers from the night before. He was consuming 800kg of pizza a year. As a child, Zack had eaten a wide variety of food. But he became addicted to pizza when he started secondary school. American school meals have often been criticised for the large amount of fast food present on the menu, and pizza is the star dish. Zack even spent all his pocket money on slices of pizza.
Naturally, Zack's family worried about his high-calorie, low-vitamin diet. So did Zack. In an attempt to break his addiction, Zack agreed to appear on a TV programme called Freaky Eaters. Its aim was to encourage food addicts to beat their addictions with the help of a psychologist and nutritionist. It wasn't easy. He had to eat a fish dish, while his brother sat in front of him enjoying... a pizza! However, Zack met the challenge and has never eaten pizza again.
Seventeen-year-old Stacy Irvine's friends visit her and discover that she has been rewarded thousands of free toys from fast food restaurants as a regular customer. Stacy's mother often gave her two-year-old girl a portion of fried chicken in a McDonald's restaurant. [I] Since then, Stacy has refused to eat anything else except for pieces of fried chicken, and as a result, her diet has created serious health. She has been warned that if she doesn't change her diet, she will die. [II] Stacy once collapsed due to lack of vitamins and nutrients and needed to be hospitalised. [III] She insisted that Stacy adopt a healthier lifestyle. However, worryingly, Stacy's mother said that while Stacy was beginning to understand the seriousness of her situation, she couldn't eat anything else but chicken nuggets. [IV]
Twenty-year-old Hanna Little was keen on chips. The only thing that Hanna consumed for fifteen years was one plate of chips after another. Not surprisingly, a diet that contained few nutrients and an excess of fat and carbohydrates could only have negative consequences. And it did because not only did Hanna develop health problems, but she also had to leave her job after collapsing at work. At five, Hanna became addicted to chips and refused to eat fruits and vegetables despite her mother's efforts. Hanna says that she was terrified of tasting the flavour of different types of food and she would feel anxious just at the idea of doing it. Parties, picnics and barbecues with friends and family used to be a nightmare. Furthermore, Hanna was soon seen as 'odd' by her friends' parents.
It wasn't until the age of sixteen that Hanna realised she had Selective Eating Disorder (SED). Despite this new knowledge, no solution was found. It wasn't until she lost her job before she started eating normally. Hanna sought therapy from psychologist Felix Economakis, who used hypnosis, a treatment that none of the doctors that she had seen before had mentioned, to get her to eat fruit after one one-hour session, and since then she has been willing to eat anything.... including chips!
(Adapted from Friends Global)
Which of the following best summaries paragraph 4?
Read the following passage about studying abroad and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Successful students often do the followings while studying. First, they have an overview before reading. Next, they look for important information and pay greater attention to it (which often needs jumping forward or backward to process information). They also relate important points to one another. Also, they activate and use their prior knowledge. When they realize that their understanding is not good, they do not wait to change strategies. Last, they can monitor understanding and take action to correct or “fix up” mistakes in comprehension.
Conversely, students with low academic achievement often demonstrate ineffective study skills. [I] They tend to assume a passive role in learning and rely on others (e.g., teachers, parents) to monitor their studying. [II] For example, low-achieving students often do not monitor their understanding of content; they may not be aware of the purpose of studying; and they show little evidence of looking back or employing “fix-up” strategies to fix understanding problems. [III] Students who struggle with learning new information seem to be unaware that they must extend effort beyond simply reading the content to understand and remember it. [IV]
Children with learning disabilities do not plan and judge the quality of their studying. Their studying may be disorganized. Students with learning problems face challenges with personal organization as well. They often have difficulty keeping track of materials and assignments, following directions, and completing work on time. Unlike good studiers who employ a variety of study skills in a flexible yet purposeful manner, low-achieving students use a restricted range of study skills. They cannot explain why good study strategies are important for learning; and they tend to use the same, often ineffective study approach for all learning tasks, ignoring task content, structure or difficulty.
The phrase fix-up in paragraph 2 could be best replaced by_________. .
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Read the following passage about Generations and mark the letter A, B, C, or D to indicate the option that best fits each of the numbered blanks from 18 to 22.
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Adolescence is a challenging phase for both parents and teenagers. (18) ______. Physically, as a child who was once dependent, you are now transforming into an independent young adult. Emotionally and socially, this period brings profound shifts in freedom, privacy, and decision-making. (19) ______. Because you used to be most happy in the company of your parents, now you want to spend some more time on your own. In addition, decision-making, (20) ______ is now something you wish to take control of. Hating being told what to do all the time, (21) ______. You see the world differently, develop your own views and your own sense of right and wrong. You feel you have all the answers while adults don’t. These changes, while normal, (22) ______. To maintain harmony, show your parents you still value them, agree on boundaries, prove your responsibility, and most importantly, keep communication open.
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In addition, decision-making, (20) ______ is now something you wish to take control of.Miễn dịch đặc hiệu thực chất là
Đọc đoạn thông tin và chọn đúng hoặc sai ở mỗi ý A, B, C, D sau đây:
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