4G5:49 PM| 18.2KB/s ODiagnostic-..t-GenMathDIAGNOSTIC TESTGENERAL MATHEMATICSSY 2021-2022I. MULTIPLE CHOICE._1. A relation is a set ofA) functionsB) x -valuesC) y-valuesD) ordered pairs2.Domain is a list of all of thevalues ofrelation or function.A) yB) zС) хD) none of the above_3. Range is a list of all of thevalues of arelation or function.A) у_4. What is the domain of this function: {(0, 1), (2, 3), (-1, 3), (4, 5)}?A) {3}5. If h(x) = x +2, which of the following interpretation is incorrect?A) h(x) = x +2 is a proper function notation C) h multiplied by g is equal to x+2B) h of x is equal to x+2_6. What is the range of this function: {(4, 8), (9, 2), (-3, -4)}A) {4, 9, -3}_7. Given f(x) = x - 7, what will f(12) be equal to?В) хC) zD) none of the aboveB) {0, 2, -1, 4}C) {0, 2}D) {1, 3, 5}D) using the above relation, h(4) = 6B) {8}C) {(4, 8), (9, 2), (-3, -4)}D) {8, 2, -4}A)17_8. Given g(x) = x4 + 3, what will g(2) be equal to?A) 1289. Which of the following is a NOT a function?B) 9C) 5D) 12B) 19C) 11D) 14A) y= 2x + 1B) x2 + y2 = 1C) y = v x + 1D) у %3D 2х +1/ x - 1_10. Which of the following relations is a function?A) {(1, 1), (1, 2), (1, 3)}В) (3, 1), (4, 1), (3, 2)} с) (0, 0), (1, 2), (2, 3)} D) {(0, 0), (0, 1), (1,2)}_11. Which of the following relations is a function?A) {(3,7), (3, 6), (5, 3)}8)}B) {(1, 2), (2, 2), (3, 4)}C) {(0, 4), (5, 6), (5, 8)} D) {(1, 2), (-1, 3), (-1,12. A mall charges P25 for the first or a fraction of an hour as parking fee. An additional P25is charged for every additional hour, or a fraction of an hour of parking. The parking area operatesfrom 7AM to 12MN everyday. Choose a function rule for the problem.B) p(f) = 25/x_13. Which of the following diagram represents a relation that is NOT a function?A) p(f)= 25xC) p(f) = 25 – 25xD) p(f)= 25 + 25xdomainrange(x)CDApril28Мay29+ 202.June30-2+ 30July3134-DAYS(month)A)14. Which of the following letter will pass the vertical line test?A) Z_15. For what values of x can we not evaluate the function f(x)= (x+3)/(x^2- 4)?A) x = 416. A jeepney ride costs P8.00 for the first 4 km, and each additional integer km adds P1.50 toB)D.В) XC) VD) EB) x= -4, 4C) x = 2D) x = -2,2the fare. Which piecewise function represents the jeepney fare in terms of the distance (d) in km?if 04}if 048.00 if d<4]l1.50 if d>4/B) F(d) = { 8 + 1.5dif 0 < d < 4}D) F(d)_17. What is f(-2) in the function below?2x + 8,x2 - 3,Vx + 3,xS-2- 2 3A. -1В. ОC) 4D) Does not exist_18. Evaluate the composite function (f og)(x), given f(x) = 4x + 6 and g(x) = x - 9.A)4х - 54В) 4х — 3С) 4x — 30D) 4x2 - 30x – 5419. If f(x) = 3x and g(x) = 5x + 2, then find (g o f)(x).A)_20. If f(x) = 4x + 8 and g(x) = - 10x, evaluate the composite function g[f(4)].A).- 24015х3 + 6x?В).15х + 6С) 6хD)15x² + 2B) .24х-2C) -152D)10For numbers 22-24. Given (x)x+2_22. What is the domain of the function?A) {x eR /x=2}_23. What is the x- intercept of f(x)?A) 2_24. What is the y -intercept of f(x)?A) 1B) {x € R/x#2}C) {x € R/x=-2}D) {x €R/*-2}B) -2C) 0D) no x-interceptB) -1C) 0D) no y- intercept25. Which of the ff. is a rational function? A) {x eR /x=2}B) {x e R/x#2}C) {x e R/x=-2}D) {x eR/±-2}23. What is the x- intercept of f(x)?B) -2_24. What is the y -intercept of f(x)?A) 2C) 0D) no x-interceptB) -125.Which of the ff. is a rational function?7x°- 4./x+1x² +3A) 1C) 0D) no y- interceptA) /x-25D) 6x -x+33 4 B) у %3C) y = 5x° -2x + 1_26. Two ships travelling from Cebu to Bohol differ in average speed by 10kph. The slower shiptakes 3 hours longer to travel a 240 km route than the faster ship to travel a 200 km route. Find thespeed of the slower ship.A) 40kph_27. Which of the following is one-to-one?A) A person to his/her citizenshipB) SIM cards to cell phone numbers28. Which function below is 1 to 1?A) { (2,27), (3,28), (4,29), (5,30) }В) { (3,12), (4,13), (8,14), (8,1) }29. The inverse of P = {(-3, 2), (0, -1), (3, -4)}.A) {(3, -4),(0, -1),(-3, 2)} B) {(2, -3),(-1,0),(-4,3)} C.{(0,-1),(-3,2),(3, -4)} D. {(2,0),(-4,-3),(2,3)}30. Given the graph of a one to one function, the graph of its inverse can be obtained byreflecting the graph about the line.A) y = x2_31. Which of the following is an exponential function?A) f(x) = x°B) 30kphC) 20kphD) 10kphC) Books to authorsD)True or false questions to answersC) { (11, 14),(12, 14), (16,7), (18,13) }D) { (- 3,12), (14,13), (6,12), (8,11) }В) у %3DхC) x = y?D) x = yD) f(x)= x3.51B) f(x) = -2*C) f(x) =8*32. Using f(-2), evaluate f(x) = 4*. A) 8C)1D)16B) 1633. An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest,compounded continuously. How much will the account be worth after 15 years?A) P1010034. If log2x = 3, then x is:35. For what xis the following equation correct: logx125 = 3A) 1_36. Solve for x by converting the logarithmic equation log, x = 2.C) P11000A) 9D) P11500B) 8B) P10500C) 7D) 6B) 2C) 3D) 5A) 1/7_37. Return of investment is computed on the principal, rate and time of loan.A) compound interest38. Many bank savings account pay by adding interest to the account at regular intervals andB) 1/49C) 1/3D) 1/9B) business loanC) simple interest D) consumer loanthe sum becomes the new basis for computing interest.B) annuity certainA) compound interest39.The following are characteristics of stocks EXCEPT,A) Stock prices vary everyday.B) Buying stocks has higher risk but with possibility of higher returns.C) A form of raising money by borrowing from investors.D) Gainful stocks is appropriate in long term for stock prices to increase._40. Which of the following are examples of contingent annuity?|- life insuranceA)41.Which of the following is true about simple annuity?|- Payment interval is the same as interest period;Il- Payments are made at the beginning of each payment interval.C) simple interestD) contingent annuityIl- pensionB) II & IIIIII- appliance loanC) III & IVIV- tuition feeD) I & IVI & |A) I only_42. Stock is to equity financing while bond is to debt financing;Stock is to dividends while bond is toB) II onlyC) I & IID) none of theseD) bond priceA) market value_43. It refers to the periodic interest payment that bondholders receive on the purchase andB) face valueC) couponmaturity date of the bond.A) annuity_44) Which of the following illustrates consumer loan?A) Mr & Mrs Smith wants to borrow money from the bank to finance the college education oftheir son.B) present valueC) couponD) dividendB) Mr Smith plans to have a barbershop. He wants to borrow some money from the bank inorder for him to buy the equipment.C) Mrs Smith owns a siomai food cart business. She wants to put another food cart in a newmall. She decided to have a loan to establish the new business.D) Queenie has a computer shop. She owns 6 computers. She decided to borrow some money45. Money lent to an individual for personal or family purpose.A) stock_46. Which of the following is a business loan?A) Mr Nicolas wants to have another branch for his cellphone repair shop. He decided to applyfor a loan that he can use to pay for the rentals of the new branch.B) Jack Ma runs a trucking business. He wants to buy three more trucks for expansion of hisbusiness. He applied for a loan in a bank.C) Richard and Elvira are into delivery business. They need 10 more motorcycles to augmentthe present 10 motorcycles for their growing business. They decided to borrow money from alending institution.D) all of the above_47. It is a proposition that is always false.A) contradiction_48. A proposition that is always true.A)_49. This proposition is true only when both p and q are true denoted by “ p ^ q.A) conditional)conjunctionB) bondC) consumer loanD) business loạnB) negationC) disjunctionD) biconditionalcontrapositiveB) tautologyC) converseD) Switcheroo LawB).disjunctionC) biconditionalD

8. Given g(X) = x4 + 3, What will g(2) be equal to? A) 128 9. Which of the following is a NOT a function? B) 19 C) 11 D) 14 A) y= 2x + 1 B) x2 + y2 = 1 C) y = v x + 1 D) y = 2x + 1/ x - 1 _10. Which of the following relations is a function? A) {(1, 1), (1, 2), (1, 3)} B) {(3, 1), (4, 1), (3, 2)} C) {(0, 0}, (1, 2), (2, 3)} D) {(0, 0), (0, 1), (1, 2)} _11. Which of the following relations is a function? A) {(3,7), (3, 6), (5, 3)} B) {(1, 2), (2, 2), (3, 4)} C) {(0, 4), (5, 6), (5, 8)} D) {(1, 2), (-1, 3), (-1, 8)} 12. A mall charges P25 for the first or a fraction of an hour as parking fee. An additional P25 is charged for every additional hour, or a fraction of an hour of parking. The parking area operates from 7AM to 12MN everyday. Choose a function rule for the problem. A) p(f)= 25x B) p(f) = 25/x C) p(f) = 25 – 25x D) p(f) = 25 + 25x _13. Which of the following diagram represents a relation that is NOT a function? domain range C April 28 Мay 20 2 June 30 -2 + 30 July 31 40 DAYS(month) 4 С. A) 14. Which of the following letter will pass the vertical line test? A) Z 15. For what values of x can we not evaluate the function f(x)= (x+3)/(x^2- 4)? A) x = 4 16. A jeepney ride costs P8.00 for the first 4 km, and each additional integer km adds P1.50 to B) D. B) X C) V D) E B) x= -4, 4 C) x = 2 D) x = -2,2 the fare. Which piecewise function represents the jeepney fare in terms of the distance (d) in km? 8.00 if 04 if d>4 D) F(d) = (8.00 if d<4] (1.50 if d>4) B) F(d) = { 8 + 1.5d if 0 < d < 4} _17. What is f(-2) in the function below? 2x + 8, f(x) =x2- 3, Vx+ 3, xS-2 - 23 А. -1 В. О C) 4 D) Does not exist 18. Evaluate the composite function (fog)(x), given f(x) = 4x + 6 and g(x) = x - 9. A) 4x - 54 B) 4x - 3 С) 4х — 30 D) 4x2 - 30x - 54 _19. If f(x) = 3x and g(x) = 5x + 2, then find (g o f)(x). 15x + 6x? C) 6x D)15x? + 2 A) 20. If f(x) = 4x + 8 and g(x) = - 10x, evaluate the composite function g[f(4)]. A).- 240 B).15x + 6 В) .24 х-2 x+2 C) -152 D)10 For numbers 22-24. Given (x) : 22. What is the domain of the function? A) {x eR /x=2} _23. What is the x- intercept of f(x)? A) 2 _24. What is the y -intercept of f(x)? A) 1 B) {x € R/x=2} C) {x e R/x=-2} D) {x €R/±-2} B) -2 C) 0 D) no x-intercept B) -1 C) 0 D) no y- intercept 25.Which of the ff. is a rational function?