PRETEST (GENERAL MATHEMATICS)
Directions: Choose the letter of the correct answer
___1. In a relation, what do you call the set of x values or the input?
a. Piecewise
b. Range
c. Domain
d. Dependent
___2. What do you call a relation where each element in the domain is related to only one value in the range by some rules?
a. Function
b. Range
c. Domain
d. Dependent
___3.Which of the following relations is/are function/s?
a. x = {(1,2), (3,4), (1,7), (5,1)}
b. g = {(3,2), (2,1), (8,2), (5,7)}
c. h = {(4,1), (2,3), (2, 6), (7, 2)}
d. y = {(2,9), (3,4), (9,2), (6,7)}
___4.Which of the following real-life relationships represent a function?
a. The rule which assigns to each person the name of his aunt.
b. The rule which assigns to each person the name of his father.
c. The rule which assigns to each cellular phone unit to its phone number.
d. The rule which assigns to each person a name of his pet.
___5.Which of the following relations is not a function?
a. The rule which assigns a capital city to each province.
c. The rule which assigns religion to each person.
b. The rule which assigns a President to each country.
d. The rule which assigns tourist spot to each province.
___6. A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses the total salary S as a
function of the number n of days that the person works?
a. 𝑆(𝑛) = 500 + 𝑛
b. 𝑆(𝑛) = 500/𝑛
c. 𝑆(𝑛) = 500𝑛
d. 𝑆(𝑛) = 500 – 𝑛
For number 7 - 8 use the problem: Johnny was paid a fixed rate of ₱ 100 a day for working in a Computer Shop and an
additional ₱5.00 for every typing job he made.
___7. How much would he pay for a 5 typing job he made for a day?
a. ₱55.00
b. ₱175.50
c. ₱125.00
d. ₱170.00
__8.Find the fare function f(x) where x represents the number of typing job he made for the day.
a. 𝑓(𝑥) = 100 + 5𝑥
b. 𝑓(𝑥) = 100 − 5𝑥
c. 𝑓(𝑥) = 100𝑥
d. 𝑓(𝑥) = 100/5x
___9. Which of the following is not true about function?
a. Composed of two quantities, one depends on the other.
c. Many-to-one correspondence is a function.
b. One-to-one correspondence is a function.
d. One-to-many correspondence is a function.
___10. In a relation, what do you call the y values or the output?
a. Piecewise
b. Range
c. Domain
d. Independent
2𝑥 2 −3𝑥+7
___11.Given 𝑔(𝑥) =
, determine g(2) .
3𝑥−4
a. 9/2
b. –(9/2)
c. 8/7
d. –(8/7)
3𝑥−11
___12. What kind of function is being illustrated by 𝑓(𝑥) =
?
𝑥+7
a. Rational Function
b. Constant Function
c. Greatest Integer Function
d. Absolute Value Function
___13. Find the function value given h(x) = 9 − 5x of x = 3m
2
2
a. 9 −15m
b. 9 −15m
c. 9 +15m
d. 9 +15m
___14. Find the function value given h(x) = 3x −8 , if x = 9a +1.
a. 27a + 5
b. 27a − 5
c. 18a +11
d. 18a −11
___15. Which of the following is the value of the function 𝑓(𝑥) = |4𝑥 2 − 8| + 2 given x = 2?
a. 8
b. 9
c. 10
d. 11
___16. Evaluate the function ℎ(𝑥) = |𝑥| − 11 given x = -3
a. -8
b. 8
c. -9
d. 9
___17. Give the value of the of the function 𝑐(𝑥) = 3𝑥 2 − 36 at c(5).
a. -21
b. 14
c. 111
d. 39
𝑥 2 −3
___18. Given 𝑔(𝑥) =
, determine g(5).
2
a. 11
b. 7/2
c. -11
d. –(7/2)
𝑥 2 −2𝑥+5
___19. Given 𝑔(𝑥) =
, determine g(4) .
𝑥+3
a. 5/7
b. –(5/7)
c. 13/7
d. –(13/7)
𝑥+4
___20. For what value of x can we not evaluate the function 𝑓(𝑥) = 2
?
𝑥 −9
a. 4
b. 3
c. 2
d. 1
___21. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find (𝑓 + 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
b. −𝑥 2 + 𝑥 + 1
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
___22. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find (𝑓 − 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
b. −𝑥 2 + 𝑥 + 1
d.
(𝑥+3)(𝑥−3)
___23. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find (𝑓𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
b. −𝑥 2 + 𝑥 + 1
d.
(𝑥+3)(𝑥−3)
𝑓
___24. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find ( ) (𝑥)
𝑔
a. 𝑥 2 + 5𝑥 − 5
b. −𝑥 2 + 𝑥 + 1
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
d.
(𝑥+3)(𝑥−3)
___25. Given 𝑓(𝑥) = 4𝑥 − 5 and 𝑔(𝑥) = 𝑥 2 + 4, find (𝑓 ∘ 𝑔)(𝑥)
a. 𝑥 + 2
b. 3𝑥 + 4
c. 4𝑥 2 + 11
___26. Given 𝑓(𝑥) = 4𝑥 − 5 and 𝑔(𝑥) = 𝑥 2 + 4, find (𝑔 ∘ 𝑓)(𝑥)
d. 16𝑥 2 − 40𝑥 + 29
d.
3𝑥−2
(𝑥+3)(𝑥−3)
a. 𝑥 + 2
b. 3𝑥 + 4
c. 4𝑥 2 + 11
d. 16𝑥 2 − 40𝑥 + 29
___27. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 + 𝑔)(3)
a. 10
b. 18
c. 23
d. 34
___28. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 − 𝑔)(5)
a. -2
b. -9
c. 0
d. 17
___29. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find 𝑓(2)
a. 0
b. -1
c. -2
d. -3
___30. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 + 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 1
b.𝑥 2 − 5𝑥 − 9
c. 𝑥 2 − 2
d. 2𝑥 + 1
___31. Which of the following relations is/are function/s?
a. x = {(-1,2), (-3,4), (-1,7), (5,1)}
c. h = {(6,1), (-2,3), (2, 6), (7, 2)}`
b. g = {(-3,2), (3,1), (-3,2), (5,7)}
d. y = {(2,3), (3,2), (-2,3), (3, -2)}
___32. Which of the following relations is/are function/s?
a. the rule which assigns to each person the name of his brother
b. the rule which assigns the name of teachers you have
c. the rule which assigns a pen and the color of its ink
d. the rule which assigns each person a surname
___33. A person can encode 1000 words in every hour of typing job. Which of the following expresses the total words W as a
function of the number n of hours that the person can encode?
a. 𝑊(𝑛) = 1000 + 𝑛
b. 𝑊(𝑛) = 1000/𝑛
c. 𝑊(𝑛) = 1000𝑛
d. 𝑊(𝑛) = 1000 – 𝑛
___34. Judy is earning ₱300.00 per day for cleaning the house of Mrs. Perez and additional ₱25.00 for an hour of taking care
Mrs. Perez’s child. Express the total salary (S) of Judy including the time (h) spent for taking care the child.
a. 𝑆(ℎ) = 300 + 25ℎ
b. 𝑆(ℎ) = 300 − 25ℎ
c. 𝑆(ℎ) = 300(25ℎ)
d. 𝑆(ℎ) = 300/25ℎ
___35. Which of the following functions define the volume of a cube?
a. 𝑉 = 3𝑠, where s is the length of the edge
c. 𝑉 = 2𝑠 3 , where s is the length of the edge
b. 𝑉 = 𝑠 3, where s is the length of the edge
d. 𝑉 = 𝑠/3 , where s is the length of the edge
2𝑥 2 −3𝑥+7
___36.Given 𝑔(𝑥) =
, determine g(2) .
3𝑥−4
a. 9/2
b. –(9/2)
c. 8/7
d. –(8/7)
3𝑥−11
___37. What kind of function is being illustrated by 𝑓(𝑥) =
?
𝑥+7
a. Rational Function
b. Constant Function
c. Greatest Integer Function
d. Absolute Value Function
___38. Find the function value given h(x) = 9 − 5x of x = 3m
a. 9 −15m
b. 9 −15m2
c. 9 +15m
d. 9 +15m2
___39. Find the function value given h(x) = 3x −8 , if x = 9a +1.
a. 27a + 5
b. 27a − 5
c. 18a +11
d. 18a −11
___40. Which of the following is the value of the function 𝑓(𝑥) = |4𝑥 2 − 8| + 2 given x = 2?
a. 8
b. 9
c. 10
d. 11
___41. Which of the following relations is/are function/s?
a. x = {(-1,2), (-3,4), (-1,7), (5,1)}
c. h = {(6,1), (-2,3), (2, 6), (7, 2)}`
b. g = {(-3,2), (3,1), (-3,2), (5,7)}
d. y = {(2,3), (3,2), (-2,3), (3, -2)}
___42. Which of the following relations is/are function/s?
a. the rule which assigns to each person the name of his brother
b. the rule which assigns the name of teachers you have
c. the rule which assigns a pen and the color of its ink
d. the rule which assigns each person a surname
___43. A person can encode 1000 words in every hour of typing job. Which of the following expresses the total words W as a
function of the number n of hours that the person can encode?
a. 𝑊(𝑛) = 1000 + 𝑛
b. 𝑊(𝑛) = 1000/𝑛
c. 𝑊(𝑛) = 1000𝑛
d. 𝑊(𝑛) = 1000 – 𝑛
___44. Judy is earning ₱300.00 per day for cleaning the house of Mrs. Perez and additional ₱25.00 for an hour of taking care
Mrs. Perez’s child. Express the total salary (S) of Judy including the time (h) spent for taking care the child.
a. 𝑆(ℎ) = 300 + 25ℎ
b. 𝑆(ℎ) = 300 − 25ℎ
c. 𝑆(ℎ) = 300(25ℎ)
d. 𝑆(ℎ) = 300/25ℎ
___45. Which of the following functions define the volume of a cube?
a. 𝑉 = 3𝑠, where s is the length of the edge
c. 𝑉 = 2𝑠 3 , where s is the length of the edge
b. 𝑉 = 𝑠 3, where s is the length of the edge
d. 𝑉 = 𝑠/3 , where s is the length of the edge
___46. Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin. Give a function A that can
represent the area that can be enclosed in terms of x.
a. 𝐴(𝑥) = 40𝑥 − 𝑥 2
c. 𝐴(𝑥) = 40𝑥 2 − 𝑥
b. 𝐴(𝑥) = 80𝑥 − 𝑥 2
d. 𝐴(𝑥) = 80𝑥 2 − 𝑥
A user is charged ₱400.00 monthly for a Sun and Text mobile plan which include 500 free texts messages. Messages in excess
of 500 is charged ₱1.00. Represent a monthly cost for the mobile plan using s(t) where t is the number of messages sent
in a month. 𝑠(𝑡) = { 47.________________ 48.________________
___47. a. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 ≤ 500
c. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 < 500
b. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 ≥ 500
d. 𝑠(𝑡) = {400, 𝑖𝑓 0 > 𝑡 > 500
___48. a. 𝑠(𝑡) = 400 + 𝑡, 𝑖𝑓 𝑡 > 500
c. 𝑠(𝑡) = 400 + 2𝑡, 𝑖𝑓 𝑡 ≥ 500
b. 𝑠(𝑡) = 400 + 𝑡, 𝑖𝑓 𝑡 ≤ 500
d. 𝑠(𝑡) = 400 + 2𝑡, 𝑖𝑓𝑡 ≤ 500
A jeepney ride in Lucena costs ₱ 9.00 for the first 4 kilometers, and each additional kilometers adds ₱0.75 to the fare. Use a
piecewise function to represent the jeepney fare F in terms of the distance d in kilometers. 𝐹(𝑑) = { 49.________ 50._________
___49. a. 𝐹(𝑑) = {9 𝑖𝑓 0 > 𝑑 ≤ 4
c. 𝐹(𝑑) = {9 𝑖𝑓 0 ≥ 𝑑 ≥ 4
b. 𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 < 4
d. 𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 ≤ 4
___50. a. 𝐹(𝑑) = {9 + 0.75(𝑛) 𝑖𝑓 0 > 𝑑 ≤ 4
c. 𝐹(𝑑) = {(9 + 0.75) 𝑖𝑓 𝑑 < 4
b. 𝐹(𝑑) = {(9 + 0.75) 𝑖𝑓 𝑑 > 4
d. 𝐹(𝑑) = {(9 + 0.75(𝑛) 𝑖𝑓 𝑑 > 4
PRETEST (GENERAL MATHEMATICS)
Directions: Choose the letter of the correct answer
___1. In a relation, what do you call the set of x values or the input?
a. Piecewise
b. Range
c. Domain
d. Dependent
___2. What do you call a relation where each element in the domain is related to only one value in the range by some rules?
a. Function
b. Range
c. Domain
d. Dependent
___3.Which of the following relations is/are function/s?
a. x = {(1,2), (3,4), (1,7), (5,1)}
b. g = {(3,2), (2,1), (8,2), (5,7)}
c. h = {(4,1), (2,3), (2, 6), (7, 2)}
d. y = {(2,9), (3,4), (9,2), (6,7)}
___4.Which of the following real-life relationships represent a function?
a. The rule which assigns to each person the name of his aunt.
b. The rule which assigns to each person the name of his father.
c. The rule which assigns to each cellular phone unit to its phone number.
d. The rule which assigns to each person a name of his pet.
___5.Which of the following relations is not a function?
a. The rule which assigns a capital city to each province.
c. The rule which assigns religion to each person.
b. The rule which assigns a President to each country.
d. The rule which assigns tourist spot to each province.
___6. A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses the total salary S as a
function of the number n of days that the person works?
a. 𝑆(𝑛) = 500 + 𝑛
b. 𝑆(𝑛) = 500/𝑛
c. 𝑆(𝑛) = 500𝑛
d. 𝑆(𝑛) = 500 – 𝑛
For number 7 - 8 use the problem: Johnny was paid a fixed rate of ₱ 100 a day for working in a Computer Shop and an
additional ₱5.00 for every typing job he made.
___7. How much would he pay for a 5 typing job he made for a day?
a. ₱55.00
b. ₱175.50
c. ₱125.00
d. ₱170.00
__8.Find the fare function f(x) where x represents the number of typing job he made for the day.
a. 𝑓(𝑥) = 100 + 5𝑥
b. 𝑓(𝑥) = 100 − 5𝑥
c. 𝑓(𝑥) = 100𝑥
d. 𝑓(𝑥) = 100/5x
___9. Which of the following is not true about function?
a. Composed of two quantities, one depends on the other.
c. Many-to-one correspondence is a function.
b. One-to-one correspondence is a function.
d. One-to-many correspondence is a function.
___10. In a relation, what do you call the y values or the output?
a. Piecewise
b. Range
c. Domain
d. Independent
2𝑥 2 −3𝑥+7
___11.Given 𝑔(𝑥) =
, determine g(2) .
3𝑥−4
a. 9/2
b. –(9/2)
c. 8/7
d. –(8/7)
3𝑥−11
___12. What kind of function is being illustrated by 𝑓(𝑥) =
?
𝑥+7
a. Rational Function
b. Constant Function
c. Greatest Integer Function
d. Absolute Value Function
___13. Find the function value given h(x) = 9 − 5x of x = 3m
a. 9 −15m
b. 9 −15m2
c. 9 +15m
d. 9 +15m2
___14. Find the function value given h(x) = 3x −8 , if x = 9a +1.
a. 27a + 5
b. 27a − 5
c. 18a +11
d. 18a −11
___15. Which of the following is the value of the function 𝑓(𝑥) = |4𝑥 2 − 8| + 2 given x = 2?
a. 8
b. 9
c. 10
d. 11
___16. Evaluate the function ℎ(𝑥) = |𝑥| − 11 given x = -3
a. -8
b. 8
c. -9
d. 9
___17. Give the value of the of the function 𝑐(𝑥) = 3𝑥 2 − 36 at c(5).
a. -21
b. 14
c. 111
d. 39
𝑥 2 −3
___18. Given 𝑔(𝑥) =
, determine g(5).
2
a. 11
b. 7/2
c. -11
d. –(7/2)
𝑥 2 −2𝑥+5
___19. Given 𝑔(𝑥) =
, determine g(4) .
𝑥+3
a. 5/7
b. –(5/7)
c. 13/7
d. –(13/7)
𝑥+4
___20. For what value of x can we not evaluate the function 𝑓(𝑥) = 2
?
𝑥 −9
a. 4
b. 3
c. 2
d. 1
___21. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find (𝑓 + 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
b. −𝑥 2 + 𝑥 + 1
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
2
___22. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 + 2𝑥 − 3, find (𝑓 − 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
2
b. −𝑥 + 𝑥 + 1
d.
(𝑥+3)(𝑥−3)
___23. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find (𝑓𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 5
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
b. −𝑥 2 + 𝑥 + 1
d.
(𝑥+3)(𝑥−3)
𝑓
___24. If 𝑓(𝑥) = 3𝑥 − 2 and 𝑔(𝑥) = 𝑥 2 + 2𝑥 − 3, find ( ) (𝑥)
𝑔
a. 𝑥 2 + 5𝑥 − 5
b. −𝑥 2 + 𝑥 + 1
___25. Given 𝑓(𝑥) = 4𝑥 − 5
a. 𝑥 + 2
___26. Given 𝑓(𝑥) = 4𝑥 − 5
a. 𝑥 + 2
c. 3𝑥 3 + 4𝑥 2 − 13𝑥 + 6
3𝑥−2
d.
(𝑥+3)(𝑥−3)
and 𝑔(𝑥) = 𝑥 2 + 4, find (𝑓 ∘ 𝑔)(𝑥)
b. 3𝑥 + 4
c. 4𝑥 2 + 11
and 𝑔(𝑥) = 𝑥 2 + 4, find (𝑔 ∘ 𝑓)(𝑥)
b. 3𝑥 + 4
c. 4𝑥 2 + 11
d. 16𝑥 2 − 40𝑥 + 29
d. 16𝑥 2 − 40𝑥 + 29
d.
3𝑥−2
(𝑥+3)(𝑥−3)
___27. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 + 𝑔)(3)
a. 10
b. 18
c. 23
d. 34
___28. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 − 𝑔)(5)
a. -2
b. -9
c. 0
d. 17
___29. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find 𝑓(2)
a. 0
b. -1
c. -2
d. -3
___30. Let 𝑓(𝑥) = 𝑥 2 − 5 and 𝑔(𝑥) = 5𝑥 + 4, find (𝑓 + 𝑔)(𝑥)
a. 𝑥 2 + 5𝑥 − 1
b.𝑥 2 − 5𝑥 − 9
c. 𝑥 2 − 2
d. 2𝑥 + 1
___31. Which of the following relations is/are function/s?
a. x = {(-1,2), (-3,4), (-1,7), (5,1)}
c. h = {(6,1), (-2,3), (2, 6), (7, 2)}`
b. g = {(-3,2), (3,1), (-3,2), (5,7)}
d. y = {(2,3), (3,2), (-2,3), (3, -2)}
___32. Which of the following relations is/are function/s?
a. the rule which assigns to each person the name of his brother
b. the rule which assigns the name of teachers you have
c. the rule which assigns a pen and the color of its ink
d. the rule which assigns each person a surname
___33. A person can encode 1000 words in every hour of typing job. Which of the following expresses the total words W as a
function of the number n of hours that the person can encode?
a. 𝑊(𝑛) = 1000 + 𝑛
b. 𝑊(𝑛) = 1000/𝑛
c. 𝑊(𝑛) = 1000𝑛
d. 𝑊(𝑛) = 1000 – 𝑛
___34. Judy is earning ₱300.00 per day for cleaning the house of Mrs. Perez and additional ₱25.00 for an hour of taking care
Mrs. Perez’s child. Express the total salary (S) of Judy including the time (h) spent for taking care the child.
a. 𝑆(ℎ) = 300 + 25ℎ
b. 𝑆(ℎ) = 300 − 25ℎ
c. 𝑆(ℎ) = 300(25ℎ)
d. 𝑆(ℎ) = 300/25ℎ
___35. Which of the following functions define the volume of a cube?
a. 𝑉 = 3𝑠, where s is the length of the edge
c. 𝑉 = 2𝑠 3 , where s is the length of the edge
b. 𝑉 = 𝑠 3, where s is the length of the edge
d. 𝑉 = 𝑠/3 , where s is the length of the edge
2𝑥 2 −3𝑥+7
___36.Given 𝑔(𝑥) =
, determine g(2) .
3𝑥−4
a. 9/2
b. –(9/2)
c. 8/7
d. –(8/7)
3𝑥−11
___37. What kind of function is being illustrated by 𝑓(𝑥) =
?
𝑥+7
a. Rational Function
b. Constant Function
c. Greatest Integer Function
d. Absolute Value Function
___38. Find the function value given h(x) = 9 − 5x of x = 3m
a. 9 −15m
b. 9 −15m2
c. 9 +15m
d. 9 +15m2
___39. Find the function value given h(x) = 3x −8 , if x = 9a +1.
a. 27a + 5
b. 27a − 5
c. 18a +11
d. 18a −11
___40. Which of the following is the value of the function 𝑓(𝑥) = |4𝑥 2 − 8| + 2 given x = 2?
a. 8
b. 9
c. 10
d. 11
___41. Which of the following relations is/are function/s?
a. x = {(-1,2), (-3,4), (-1,7), (5,1)}
c. h = {(6,1), (-2,3), (2, 6), (7, 2)}`
b. g = {(-3,2), (3,1), (-3,2), (5,7)}
d. y = {(2,3), (3,2), (-2,3), (3, -2)}
___42. Which of the following relations is/are function/s?
a. the rule which assigns to each person the name of his brother
b. the rule which assigns the name of teachers you have
c. the rule which assigns a pen and the color of its ink
d. the rule which assigns each person a surname
___43. A person can encode 1000 words in every hour of typing job. Which of the following expresses the total words W as a
function of the number n of hours that the person can encode?
a. 𝑊(𝑛) = 1000 + 𝑛
b. 𝑊(𝑛) = 1000/𝑛
c. 𝑊(𝑛) = 1000𝑛
d. 𝑊(𝑛) = 1000 – 𝑛
___44. Judy is earning ₱300.00 per day for cleaning the house of Mrs. Perez and additional ₱25.00 for an hour of taking care
Mrs. Perez’s child. Express the total salary (S) of Judy including the time (h) spent for taking care the child.
a. 𝑆(ℎ) = 300 + 25ℎ
b. 𝑆(ℎ) = 300 − 25ℎ
c. 𝑆(ℎ) = 300(25ℎ)
d. 𝑆(ℎ) = 300/25ℎ
___45. Which of the following functions define the volume of a cube?
3
a. 𝑉 = 3𝑠, where s is the length of the edge
c. 𝑉 = 2𝑠 , where s is the length of the edge
b. 𝑉 = 𝑠 3, where s is the length of the edge
d. 𝑉 = 𝑠/3 , where s is the length of the edge
___46. Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin. Give a function A that can
represent the area that can be enclosed in terms of x.
a. 𝐴(𝑥) = 40𝑥 − 𝑥 2
c. 𝐴(𝑥) = 40𝑥 2 − 𝑥
b. 𝐴(𝑥) = 80𝑥 − 𝑥 2
d. 𝐴(𝑥) = 80𝑥 2 − 𝑥
A user is charged ₱400.00 monthly for a Sun and Text mobile plan which include 500 free texts messages. Messages in excess
of 500 is charged ₱1.00. Represent a monthly cost for the mobile plan using s(t) where t is the number of messages sent
in a month. 𝑠(𝑡) = { 47.________________ 48.________________
___47. a. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 ≤ 500
c. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 < 500
b. 𝑠(𝑡) = {400, 𝑖𝑓 0 < 𝑡 ≥ 500
d. 𝑠(𝑡) = {400, 𝑖𝑓 0 > 𝑡 > 500
___48. a. 𝑠(𝑡) = 400 + 𝑡, 𝑖𝑓 𝑡 > 500
c. 𝑠(𝑡) = 400 + 2𝑡, 𝑖𝑓 𝑡 ≥ 500
b. 𝑠(𝑡) = 400 + 𝑡, 𝑖𝑓 𝑡 ≤ 500
d. 𝑠(𝑡) = 400 + 2𝑡, 𝑖𝑓𝑡 ≤ 500
A jeepney ride in Lucena costs ₱ 9.00 for the first 4 kilometers, and each additional kilometers adds ₱0.75 to the fare. Use a
piecewise function to represent the jeepney fare F in terms of the distance d in kilometers. 𝐹(𝑑) = { 49.________ 50._________
___49. a. 𝐹(𝑑) = {9 𝑖𝑓 0 > 𝑑 ≤ 4
c. 𝐹(𝑑) = {9 𝑖𝑓 0 ≥ 𝑑 ≥ 4
b. 𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 < 4
d. 𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 ≤ 4
___50. a. 𝐹(𝑑) = {9 + 0.75(𝑛) 𝑖𝑓 0 > 𝑑 ≤ 4
c. 𝐹(𝑑) = {(9 + 0.75) 𝑖𝑓 𝑑 < 4
b. 𝐹(𝑑) = {(9 + 0.75) 𝑖𝑓 𝑑 > 4
d. 𝐹(𝑑) = {(9 + 0.75(𝑛) 𝑖𝑓 𝑑 > 4