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A QUIZ- based on the interviews between Jeremy Harmer and the teachers
Quiz by Mahananda Pathak
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Here is a quiz based on the âReciprocal of a Linear Functionâ content from your PowerPoint. --- Quiz: Reciprocal of a Linear Function Multiple Choice (5 questions) Select the best answer. 1. What is the vertical asymptote of f(x) = \dfrac{1}{x - 3}? a) x = 0 b) x = 3 c) x = -3 d) y = 0 2. For f(x) = \dfrac{1}{2x + 4}, what is the y-intercept? a) 0 b) \dfrac{1}{2} c) \dfrac{1}{4} d) 2 3. What is the horizontal asymptote of any function of the form f(x) = \dfrac{1}{ax + b} (with a \neq 0)? a) y = 0 b) y = 1 c) x = 0 d) x = -\dfrac{b}{a} 4. The domain of f(x) = \dfrac{1}{5 - x} is a) all real numbers except 5 b) all real numbers except -5 c) all real numbers d) all real numbers except 0 5. As x approaches the vertical asymptote from the right, the values of f(x) a) approach 0 b) approach \pm\infty c) approach 1 d) approach the same value as from the left --- Completion (5 questions) Fill in the blank with the correct word or expression. 1. The vertical asymptote of a reciprocal linear function occurs where the ____________________ is zero. 2. The horizontal asymptote of f(x) = \dfrac{1}{ax + b} is the line y = ________. 3. A function of the form f(x) = \dfrac{1}{ax + b} has ______ x-intercept(s) because the numerator is constant. 4. The end behavior of f(x) = \dfrac{1}{x - 2} as x \to \infty is f(x) \to ________. 5. The y-intercept of f(x) = \dfrac{1}{3x - 6} is ________. --- Answer Key Multiple Choice 1. b) x = 3 2. c) \dfrac{1}{4} (Substitute x = 0: f(0) = \frac{1}{4}) 3. a) y = 0 4. a) all real numbers except 5 5. b) approach \pm\infty Completion 6. denominator 7. 0 8. no / zero 9. 0 (from the positive side) 10. -\dfrac{1}{6} (Substitute x = 0: f(0) = \frac{1}{-6})
'Create a quiz based on this lesson: . Tenali Rama was known for his sense of humour. In fact, King Krishnadevaraya used to enjoy his witty remarks even when they were targeted at him. Here is one such story. Scene 1 One day, an Arab horse trader visited the court of King Krishnadevaraya. He had a fine horse for the king. The (Greek/Chinese/Arab/ British) trader visited the court of King Krishnadevaraya King: All of you know that I am very fond of horses. The horses in my stable are the finest indeed! Send the trader in! I always want some rare breeds of horses from across the world to add to my man collection. Trader: Good day, Your Majesty! I have brought one of the finest horses from ArabiaI request you to see the horse. I am sure you will want him for your royal stable. King: This is indeed a magnificent creature! I wish to buy this fine horse. Trader: Your Majesty, I have two more such horses with me in Arabia and it would be my pleasure to bring them to you. Trader: You are really kind and I am sure you will like ader merchant magnificent splendid/superb King: I am so happy to hear that. I agree to buy the other two horses as well Into Trader: l am grateful for your offer and I promise to return with the other two horses within a week's time. Scene 2 Months passed, but there was no sign of the trader. Worried and anxious, the king decided to take a stroll in the garden. There, he spotted Tenali Rama sitting under a tree and scribbling something on a piece of paper. King: What are you writing on this sheet of paper, Rama? Rama: Here is the paper. You can see for yourself. It is the list of names of people who can be called 'very foolish!. Rama showed the paper to the king. It was a list of names with the king's name at the top. King: My name is always on top of the list. I do know that you respect me. On the top of the list was writtenâ 'List of the Biggest Fools in the World! He became furious. King: How can you call your King, 'a fool?' You will have to explain it to me. Rama: lam really sorry that I had to add you as well in the list of fools. How could your Highness trust an unknown Arab horse trader, give him a huge advance, and expect him to return? ' King: What if he really comes back? Rama: If he returns with his horses after taking so much money from you, then I will put his name as the first one. So, he will be on top of the list of fools. The king realized his mistake. His anger slowly gives way to laughter. King: You are really funny, Rama. I was very unhappy, but with your witty remark, you have defused my anger and anxiety. I love your sense of humour. Rama: Dear King, you are so good to everyone! You fail to understand that you should be good to people, but should never trust strangers. The king agreed and they walked back to the palace.
Create a reading comprehension quiz based on the following text: Not many people 'have heard/ heard of Nikola Tesla, who 2played/was playing a key role in creating the alternating current (AC) supply of electricity we are having/ have in our homes today. Early in his career, Tesla has worked / worked with Thomas Edison. He had emigrated/ has emigrated to the USA from Europe in 1884. While Tesla was working/ had worked for Edison, they had an argument over payment for an invention, so Tesla was deciding/ decided to work independently. It was then that he developed a motor that could produce an alternating current. Throughout his life, Tesla continued to conduct experiments and helped / was helping develop X-ray radiography and wireless communication. There is no doubt that he has had / had had a large impact on modern technology. Many of the gadgets that we 10 are enjoying/enjoy today would not have been possible without Nikola Tesla.
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