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Here are 10 medium-level multiple-choice questions and 10 easy-level multiple-choice questions about relations and functions, along with their answers at the end. ▎Medium-Level Questions 1. Which of the following is a function?    a) {(1, 2), (1, 3), (2, 4)}     b) {(1, 2), (2, 3), (3, 4)}     c) {(1, 2), (2, 3), (1, 4)}     d) None of the above  2. What is the range of the function f(x) = x^2 for x ∈ [-3, 3]?    a) [0, 9]     b) [-9, 9]     c) [-3, 3]     d) [3, 9]  3. If f(x) = 2x + 3, what is f(4)?    a) 8     b) 11     c) 14     d) 7  4. Which of the following represents the inverse function of f(x) = 3x - 5?    a) f^(-1)(x) = (x + 5)/3     b) f^(-1)(x) = (x - 5)/3     c) f^(-1)(x) = 3/x + 5     d) f^(-1)(x) = x/3 + 5  5. If g(x) = x^3 - 1, what is g(2)?    a) 7     b) 8     c) 6     d) 5  6. Which of the following sets of ordered pairs represents a one-to-one function?    a) {(1, 2), (2, 3), (3, 4)}     b) {(1, 2), (1, 3), (2, 4)}     c) {(1, 2), (2, 2), (3, 4)}     d) {(1, 2), (3, 4), (5, 6)}  7. The domain of the function f(x) = √(x - 4) is:    a) [4, ∞)     b) (-∞, ∞)     c) [0, ∞)     d) [0, 4]  8. If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(x)?    a) x^2 + 1     b) (x + 1)^2     c) x^2 + x + 1     d) x^2 - 1  9. What is the vertical line test used for?    a) To determine if a graph is a function     b) To find the domain of a function     c) To find the range of a function     d) To determine if a function is increasing or decreasing  10. If h(x) = |x - 2|, what is h(-1)?     a) -3      b) 3      c) -1      d) 1  ▎Easy-Level Questions 1. What is a function?    a) A relation where each input has multiple outputs     b) A relation where each input has exactly one output     c) A set of numbers only     d) None of the above  2. Which of the following is an example of a linear function?    a) f(x) = x^2     b) f(x) = x + 5     c) f(x) = √x     d) f(x) = sin(x)  3. What is the output of f(0) if f(x) = x + 5?    a) 0     b) 5     c) -5     d) Undefined  4. The equation y = mx + b represents:    a) A quadratic function     b) A linear function     c) An exponential function     d) A polynomial function  5. If f(x) = x - 2, what is f(3)?    a) 1     b) -1     c) 5     d) Undefined  6. Which of the following represents a relation?    a) { (1,2), (2,3), (3,4)}     b) { (1,2), (1,3)}     c) { (a,b), (b,c)}     d) All of the above  7. What is the y-intercept of the function y = 2x + 3?    a) 2     b) 3     c) -3     d) Undefined  8. If f(x)=2x and g(x)=x+1, what is g(f(1))?    a) 4     b) 5     c) 6     d) 7  9. The graph of which function is a parabola?    a) f(x)=x+1     b) f(x)=x^2+2x+1     c) f(x)=e^x     d) f(x)=log(x) 10. Which of the following indicates that a relation is not a function?     a) Each input has one output      b) An input has multiple outputs      c) Each output has one input      d) None of the above 

▎Answers Medium-Level Questions: 1. b 2. a 3. b 4. a 5. a 6. a 7. a 8. b 9. a 10. b Easy-Level Questions: 1. b 2. b 3. b 4. b 5. a 6. d 7. b 8. b 9. b 10. b

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⚡️Grade11 | Math | Rational Expressions and Rational Functions

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Geography From Grade 11 🔥

1. The "overlying bed is younger than the underlying rock" refers to: A. Principle of original horizontality B. Law of superposition C. Principle of cross-cutting relationships D. All of the above 2. Which one of the following is the oldest and longest era? A. Precambrian B. Paleozoic C. Mesozoic D. Cenozoic 3. Which one is NOT correct in geological time scale? A. Eras cover larger time units (hundreds of Ma). B. Eons cover longer time units (billions of years). C. Phanerozoic eon is the recent eon. D. Cambrian period is the recent period. 4. According to Köppen climate classification system letter "B" stands for: A. Tropical climate B. Dry climate C. Polar climate D. Highland climate 5. Deserts are formed because of all factors, except: A. In the trade wind belts: subtropical highs B. On the leeward side of a high mountain C. Along warm ocean currents D. In the interior of continents 6. Which is the only continent in the world crossed by all the equator, prime meridian, tropic of cancer and tropic of Capricorn? A. Africa B. Asia C. Australia D. Europe 7. In the northern hemisphere due to Coriolis force high pressure deflects to: A. Inward, anticlockwise B. Outward, clockwise C. Outward, anticlockwise D. Inward, clockwise 8. Assuming that temperature at sea level is 40℃, what would be temperature at Ras Dashen (4620m above sea level). A. 0.43℃ B. 40.43℃ C. 10.43℃ D. 50.43℃ 9. Ethiopian climate is mainly controlled by: A. Latitude B. Altitude C. Cloud cover D. Continentality 10. Mediterranean climate is characterized by: A. Dry Summer and wet winter B. Wet Summer and dry winter C. Dry summer and dry winter D. wet summer and wet winter 11. Which continent was Not part of Gondwanaland? A. Africa B. Europe C. Australia D. South America 12. Which one of the following is Not correct about climatic regions? A. Tropical rainforest region has no real winter season B. Polar climate region has no real Summer season C. Tropical savanna climate is dry and wet D. Tundra climate is hot and wet 13. Why are Ethiopian Highlands dry and cold during "Bega" or winter season? It is because: A. ITCZ shifts to the South so that the NE trade wind bring onshore wind from Asian highs. B. ITCZ shifts to the North so that SE trade wind bring onshore wind from Indian ocean C. ITCZ shifts to the North, the equatorial westerlies bring onshore wind from Atlantic ocean D. ITCZ shifts to the south therefore the NE trade wind bring offshore wind from Asian highs. ❗️Free Entrance Exam: https://addisentrancehub.com ❗️Our App: https://t.me/AddisEntranceHub/2482 ❗️Our Bot: @addisentrancehub_bot @AddisEntranceHub @AddisEntranceHub

📚Chemistry Entrance Questions 1. What is the main component of natural gas?    A) Ethylene     B) Methane     C) Propane     D) Butane  2. Which of the following is a strong acid?    A) Acetic acid     B) Hydrochloric acid     C) Citric acid     D) Carbonic acid  3. Which of the following elements is a noble gas?    A) Oxygen     B) Nitrogen     C) Argon     D) Chlorine  4. What is the pH of a neutral solution at 25°C?    A) 0     B) 7     C) 14     D) 10  5. Which of the following compounds is an example of an ionic compound?    A) Water     B) Sodium chloride     C) Ethanol     D) Glucose  6. What type of reaction occurs when an acid reacts with a base?    A) Synthesis     B) Decomposition     C) Neutralization     D) Combustion  7. Which of the following statements about catalysts is true?    A) They are consumed in the reaction.     B) They increase the activation energy.     C) They speed up chemical reactions without being consumed.     D) They change the equilibrium position of a reaction.  8. What is the molar mass of water (H₂O)?    A) 16 g/mol     B) 18 g/mol     C) 20 g/mol     D) 22 g/mol  9. Which of the following is a characteristic of metals?    A) Brittle     B) Poor conductors of heat     C) Malleable and ductile     D) Low density  10. In which type of bond do electrons get shared between atoms?     A) Ionic bond      B) Covalent bond      C) Metallic bond      D) Hydrogen bond  ▎EUEE Style Questions 11. Which of the following is a characteristic property of acids?     A) They taste bitter.      B) They turn blue litmus paper red.      C) They feel slippery.      D) They produce hydroxide ions in solution.  12. The atomic number of an element is determined by the number of:     A) Neutrons in the nucleus.      B) Protons in the nucleus.      C) Electrons in the outer shell.      D) Nucleons in the nucleus.  13. Which gas is released during photosynthesis?     A) Carbon dioxide      B) Oxygen      C) Nitrogen      D) Hydrogen  14. What happens to the pressure of a gas if its volume decreases at constant temperature?     A) Increases      B) Decreases      C) Remains constant      D) Doubles  15. Which of the following elements has the highest electronegativity?     A) Sodium      B) Chlorine      C) Fluorine      D) Oxygen  16. What is the primary product when an alkene undergoes complete combustion?     A) Water and carbon monoxide      B) Water and carbon dioxide      C) Carbon and hydrogen gas      D) Alcohols  17. Which type of reaction is represented by the equation: AB + CD → AC + BD?     A) Synthesis reaction      B) Decomposition reaction      C) Single displacement reaction      D) Double displacement reaction  18. What is the main reason for the formation of ozone in the stratosphere?     A) Combustion reactions      B) Photosynthesis      C) UV radiation breaking down oxygen molecules      D) Respiration processes  19. Which of the following solutions would have the highest conductivity?     A) Distilled water      B) Saltwater solution      C) Sugar solution      D) Alcohol solution  20. In a chemical reaction, what does the law of conservation of mass state?     A) Mass can be created or destroyed.      B) The total mass of reactants equals the total mass of products.      C) Mass only changes form during a reaction.      D) Mass is always conserved in physical changes only.

▎Answers 1. B 2. B 3. C 4. B 5. B 6. C 7. C 8. B 9. C 10. B 11. B 12. B 13. B 14. A 15. C 16. B 17. D 18. C 19. B 20. B

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