Q1 GENERAL MATHEMATICS ORAL RECITATION.pptx

General Mathematics

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2. Which of the following functions best represents a real-life situation involving a rational function? The total cost of purchasing 𝑥 items where each item costs ₱20: The amount of paint needed to cover 𝑥 square meters, where each square meter requires 0.5 liters of paint: The speed of a car at time , where the speed decreases as time progresses and is given by: The total distance a car travels in hours at a constant speed of 80 km/h:  

3. A bakery sells special cakes. The cost of baking cakes is given by the function: , where ₱200 is fixed cost of ingredients and utilities, and ₱80 is the cost of baking each cake. How much would it cost the bakery to bake 15 cakes?  

4. Evaluate the given function at 𝑥=3.5 𝑠(𝑥)=  

5. Evaluate the given function.  

6. A car rental cost is pesos for x km. Find the cost for 50 km.  

7. Evaluate.  

8. If log 2 = a, log 3 = b, log 5 = c . Express each in terms of a, b, and c only.  

9. If log 2 = a, log 3 = b, log 5 = c . Express each in terms of a, b, and c only.  

10. A water delivery service in Quezon City charges ₱50 for the first 10 gallons of water and ₱3 for every additional gallon. Using the water delivery service’s pricing structure, what would be the total cost for 15 gallons of water delivered?  

11. Which of the following represents a real-life application of a function? A bus ticket costs ₱50, no matter how far you travel. A fruit vendor sells mangoes for ₱60 per kilogram, no matter how many kilograms you buy. A store charges a flat fee of ₱100 for delivery, regardless of the distance. A taxi charges ₱40 for the first kilometer and ₱15 for each additional kilometer.

12. If , what is  

13. What is the range of the function ? The range of the function is the set of all real numbers. The range of the function is the set of all real numbers except 2. The range of the function is the set of all real numbers except 9. All of the above  

14. Maria is buying notebooks for school. Each notebook costs ₱8, and she also needs to pay a one-time packaging fee of ₱10. The total cost for n notebooks is given by: . What is if Maria is buying four books?  

15. What is the y- intercept of the given function  

16. What is the inverse of the function ?  

17. What is the domain of the given function ?  

18. What is the logarithmic form of the given expression ?  

19. Given the function , what is  

20. Evaluate the given logarithmic expression ?  

21. A factory incurs a total cost that includes a fixed cost of ₱500 and an additional ₱10 per package produced. The average cost per package when producing 𝑥 packages. Which of the following formulas correctly represents the average cost per package? C. B. D.  

22. What is the domain and range of the inverse of the function ?  

23. What is the inverse function of the function: ?  

24. Which of the following is an example of an exponential inequality? An inequality where the variable is raised to a power and compared to a constant. B. An inequality involving a polynomial expression and a comparison with a constant or zero. C. An inequality where the variable appears in the numerator or denominator of a fraction. D. An inequality involving a logarithmic function and a comparison with a constant or another logarithmic function.

25. Given and which of the following evaluates  

26. What is the vertical asymptote of the graph of ?  

27. For rational equations, what do you call the value of a variable that is not an actual root of the equation, for it makes the denominator to be 0? Extraneous solutions Roots Zeroes All of the above

28. A salesman sold twice as many apples in the afternoon than in the morning. If he sold 360 kilograms of apples that day, how many kilograms did he sell in the morning and how many in the afternoon? 100 kg in the morning and 260 kg in the afternoon 120 kg in the morning and 240 kg in the afternoon 150 kg in the morning and 210 kg in the afternoon 240 kg in the morning and 120 kg in the afternoon

29. If n<m, given n and m are the degree of the polynomials, what is the horizontal asymptote?

30. What is the range of the function f(x) = The range of the function is the set of all real numbers. The range of the function is the set of all real numbers except -1. The range of the function is the set of all real numbers except -7. None of the above.  

31. Bacteria grow as . Find P(3).  

32. Determine x if .  

33. State the y-intercept and asymptote of .  

34. If and , what is the composite function ?  

35. Which of the following is NOT a one-to-one correspondence? The relation pairing an SSS member to his SSS number. The relation pairing a certain airport to its code. The relation of a car and its plate number. The relation of a teacher and the number of subjects being taught.

36. Which of the following describes the domain of a rational function? The set of all negative integers except those for which the denominator is zero. B. The set of all positive integers except those for which the denominator is zero. C. The set of all rational numbers except those for which the denominator is zero. D. The set of all real numbers except those for which can make the denominator zero.

37. What is the zero of the function  

38. Determine whether the given graph represents a one-to-one function.

39. Determine whether the given graph represents a one-to-one function.

40. Find the inverse of function  

41. Find the inverse of function  

42. What is in ?  

43. Which of the following relations are functions? G= {(1,3), (1,4), (2,5), (2,6), (3,7)} H= {(1,0), (0,1), (-1,0), (0-1)} I= {(-2,4), (-1,1), (0,0), (1,1), (2, 4)} J= {(1,1), (1,2), (1,3), (1,4), (1,5)}

44. A culture doubles every 6 hours. If initial is 200, find after 1 day.

45. Use the properties of logarithms to condense the expressions as a single logarithm.  

46. How to identify the x-intercepts of the rational function? Evaluate the function at Evaluate the function at Find the values of where the numerator will be zero. All of the above  

47. What is always TRUE about the domain of a function? A. It includes all y-values B. Each x-value can appear more than once with different outputs C. No x-value can be repeated with different y-values D. It excludes negative numbers

48. What is in ?  

49. Team HUMSS has won 5 games from Team GAS out of 12 games in a Basketball Tournament competition, a winning percentage of 42%. How many games (in minimum) should they win in a row to improve their win percentage to at least 70%? Hint: You can use the equation: where x is the number of games needed.  

50. What do you call a line (or a curve) that the graph gets close to but not touch?

51. Given the following functions , and what is