Republic of the Philippines
Department of Education
CARAGA Administrative Region
Division of Siargao
SAN BENITO NATIONAL HIGH SCHOOL
San Benito, Surigao del Norte
First Quarter Examination
General Mathematics
S.Y. 2019-2020
Name: ____________________________________________Grade and Section: ___________________
Direction: Encircle the letter of your correct answer. Please avoid erasure.
1. It is a rule that relates values from a set to second set of value.
a. Function
b. relation
c. composition
2. A relation where each element of the domain is related to only one value.
a. Function
b. relation
c. composition
3. A line that represents a graph is a function in the Cartesian plane.
a. Horizontal line test
b. straight line test
c. vertical line test
4. Which of the following relations are functions?
a. (1,2) (3,2) (3,5)
b. (2,3) (1,4) (2,1)
c. (3,4) (2,3) (1,2)
5. Which of the following relations are not functions?
a. (1,5) (3,2) (3,5)
b. (4,3) (1,4) (2,1)
c. (3,4) (2,3) (1,2)
6. Which of the following relations are functions?
a. (0,3) (3,2) (4,5)
b. (2,3) (1,4) (2,1)
c. (3,4) (2,3) (3,2)
7. Which of the following represents a function?
a. Y= 2x + 1
b. x2 + y2=1
c. y = x2 + y2
8. Which of the following is not a function?
a. Y= 2x + 1
b. x2 + y2=1
c. y = x2 – 2x +2
9. Which of the following represents a function?
a. Y=x2
b. 3x + y=1
c. y = x2 + y2
10. Give a function C that can represent the cost of buying x meals, if one meal costs ₱40.
a. X = C (40)
b. C(x) = 40x
c. x (40) = C
11. Give a function C that can represent the cost of buying x meals, if one meal cost ₱35.
a. C (x) = x - 35
b. C (x) = x + 35
c. C (x) = 35x
12. Given f (x) = x + 2, find f (-2).
a. 0
b. -2
c. 2
13. Give a function R that can represent the cost of buying x meals, if one meal costs ₱24.
a. X = r (24)
b. r(x) = 24x
c. x (24) = r
14. Given f (x) = x + 2, find f (-1).
a. 0
b. -2
c. 1
15. Given y = 2x + 1, find f (3).
a. 7
b. -7
c. 0
For items 16-20. Evaluate the following function at x = 3
16. F(x) = 2x + 4
a. -10
b. 10
c. 6
17. Q(x) = x2 – 2x + 2
a. 3
b. 4
c. 5
18. G(x) = √𝑥 + 1
a. 2
b. 3
c. 1
2𝑥−2
19. R(x) = 𝑥−1
a. -3
b. -2
c. 2
20. F(x) = x + 1
a. 4
b. 5
c. 3
21. Evaluate F (x) = x2 + 3x + 2 at x = -2.
a. 8
b. 6
c. 0
22. Evaluate F (3x – 1) at x = 2x + 1.
a. 6x – 1
b. 6x +1
c. 6x +1-1
23. Evaluate q (x2 – 2x +2) at x = 2x + 3.
b. 4x2-8x+5
b. 4x2+8x+5
c. 6x +1-5
For items 24-26. Given f(x) = x-4, find the following values:
24. F (3).
a. 2
b. 1
c. -1
25. F (-1).
a. -5
b.5
26. F (x + 2).
a. X+3
b. x-2
27. Given f (x) = x – 2 and g (x) = 3x + 7, what is (f + g) (x)?
a. 4x + 9
b. 4x + 5
2𝑥+1
3𝑥
28. If f (x)=
and h (x) =
, find (f-h) (x)
𝑥−2
𝟏−𝒙
𝒙−𝟐
𝑥−2
1+𝑥
a.
b. 𝑥−2
29. If v(x) = 2x-7 and g(x) = x+3, find (v+g) (x)
a. 3x – 4
b. 3x + 4
30. If f(x) = x2+2x +4 and p(x) = x+2x-8, find (f-p) (x)
a. X2 + x +12
b. X2 + x -12
31. If f(x) = x + 3 and p(x) = 2x - 7, find (f.p) (x)
a. 3X2 + x +21
b. 2X2 - x -21
c. 0
c. x+2
c. 4x – 5
1−𝑥
c. 𝑥+2
c. 4x- 3
c. X2 - x +12
c. X2 - x +21
For items 32-35. Given the value of f(x) = 2x - 4 and h (x) = x-2. Determine the following functions.
32. (f.h) (x)
a. 2X2 – 8x +8
b. 2X2 – 8x -8
c. 2X2 + 8x +8
33. (f-h) (x)
a. X+2
b. x-1
c. x-2
34. (f+h) (x)
a. 3x-5
b. 3x-6
c. 2x-6
35. (f/h) (x)
a. 3
b. 2
c. 1
1
2
36. Find the sum of 𝑥−3 and 𝑥−5.
3𝑥−11
a. 𝑥 2 −8𝑥−15
37. F(2x+1) x q (x2 – 2x +2).
a. 2x3 – 3x2 +2x +2
38. If r (x) =
2𝑥+1
𝑥−1
3𝑥+11
𝟑𝒙−𝟏𝟏
b. 𝑥 2 −8𝑥+15
c. 𝒙𝟐−𝟖𝒙+𝟏𝟓
b. 4x3 – 3x2 +2x +2
c. 2x3 +3x2 +2x +2
𝑟 (𝑥)
and f (x) = (2x +1), find 𝑓 (𝑥).
1
𝟏
1
a.
b.
c.
𝑥−2
𝒙−𝟏
𝑥+1
2
39. If f(x) = -x + 4 and g(x) = 2x + x , find (f/g) (x).
−𝑥−4
𝑥+4
−𝒙+𝟒
a. 2𝑥+𝑥2
b. 2𝑥+𝑥2
c. 𝟐𝒙+𝒙𝟐
40. The process of obtaining a composition function is called _____.
a. Operation of functions
b. composition of functions
c. composite relation of function
For items 41-45. Consider the value of f(x) =
41. (f+g).
1
a. 𝑥 2 + √𝑥
42. (f-g).
1
a. 2 + √𝑥
𝑥
43. (f.g)
√𝑥
a. − 𝑥 2
44. (f/g).
1
a. 𝑥 2 √𝑥
45. (g/f).
a. −𝑥 2 √𝑥
1
𝑥2
and g (x) =√𝑥. Find and simplify the following functions.
1
b. 𝑥 2 − √𝑥
b.
𝑥
𝑥2
− √𝑥
√1
b. 𝑥 2
b.
1
√𝑥
b. 𝒙𝟐 √𝒙
𝑥
c. 𝑥 2 + √𝑥
c.
𝟏
𝒙𝟐
− √𝒙
√𝑥
c. 𝑥 2
1
c. −𝑥2 √𝑥
c. 𝑥 2 + √𝑥
For items 46-49. Consider the value of f(x) = 𝑥 + 2 and g (x) =2𝑥 + 4. Find and simplify the following functions.
46. (f o g) (x) =
a. 2x + 6
b. 2x-6
c. 6x+2
47. (g o f) (x) =
a. 2x-6
b. 2x-8
c. 2x+8
48. (g o g) (x) =
a. 4x-12
b. 12x+4
c. 4x+12
49. (f o f) (x) =
a. x+4
b. x-4
c. x+2
50. If f(x) = x2 + 3 and h (x) = x-3. Find and simplify f o h (2).
a. -4
b. 4
c. 0
GOOD LUCK!