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Lesson 1
Representation of Real-Life
Situations Using Functions, Including
Piece-wise Functions
1. { (2,3), (-6,5), (0,-2), (-1,-5)}
Function
Not Function
2. {(1,3), (1,4), (2,5), (2,6), (3,7)}
Function
Not Function
INPUT X OUTPUT Y
-4 1
-3 2
-4 3
-5 4
Function
Not Function
4.
INPUT X OUTPUT Y
1 3
2 6
3 9
4 12
Function
Not Function
5.
5. π‘₯2
+𝑦2
Y2 -6=0
Function
Not Function
6. π‘₯2
+ 𝑦 += 5
Function
Not Function
7.
y
x
Function
Not Function
1. Which of the following diagram represents a relation
that is not a function?
A. One to one
B. One-to-many
C. Many-to-one
D. None of the above
2. Which of the following statements represents a
function?
A. Students of their current age?
B. Countries to its capital?
C. A store to its merchandise
D. Teacher and student's relationship
3. A method of determining whether or not a graph
represent a function is called the __________ .
A. Diagonal Line test
B. Horizontal Line Test
C. Zigzag Line Test
D. Vertical Line Test
4. Which of the following letters will pass the
vertical line test?
A. V
B. X
C. Y
D. Z
5. The altitude of a plane is a function of the times
since take off. What is the dependent variable?
A. Time
B. Speed
C. Altitude
D. All of the above
6. To evaluate a function is to __________ the variable in
the function with a value from the function's domain
and compute the result.
A. Omit
B. Simplify
C. Skip
D. substitute
7. If f(x)-2xΒ² - 3, find f(0).
A. -5
B. -3
C. 0
D. 3
8. If g(x) 8x 1, find g(-2).
A. 7
B. 1
C. 10
D. 17
9. Given q(x) = |x ^ 2 - 9| Find q(2)
A. -5
B. -4
C. 4
D. 5
10. If h(x) = 3x ^ 2 + 2x - 1 , find h(- 1)
A. -5
B. - 3
C. O
11. What of the following defines the difference of f – h
given that f and h are functions?
A. ( f + h )(x) = 𝑓 (x) + β„Ž(x)
B. ( f + h ) (x) = 𝑓 (x) – β„Ž(x)
C. ( f+ h ) (x) =𝑓(x) βˆ™ β„Ž (π‘₯)
D. ( f+ h ) (x) =𝑓 (β„Ž π‘₯ )
12. The purpose of obtaining a composite
function is called _______________.
A. Composite function
B. Compositing function
C. Decomposition function
D. Function composition
13. Which of the following notation is read as β€œ h
composed with g?
A. β„Ž(𝑔)
B. β„Ž βˆ™ 𝑔
C. β„Ž Β° 𝑔
D. 𝑔 Β° β„Ž
14. Given 𝑓 π‘₯ = 2π‘₯ π‘Žπ‘›π‘‘ 𝑔 π‘₯ = 𝑋 +
5, 𝑓𝑖𝑛𝑑 𝑓 Β° 𝑔 π‘₯ .
A. 2π‘₯ + 5
B. 2π‘₯ + 10
C. π‘₯ + 5
D. X + 10
15. Given 𝑓 π‘₯ = 4π‘₯ and g x = x βˆ’ 3, and (f βˆ™
16. ALVIN brougth 5 mangoes and 4 avocados for
php23.00 only . How much is each avocado if one
mango costs php 3.00?
A.Php1.00
B. Php 2.00
C. Php 3.00
D. Php 4.00
17. A 100 gallon tank is initially full og water
and being drained at a rate of 5 gallons per
minutes. How much water left in the tank after
4 minutes?
A.70
B. 75
C. 80
D. 85
18. The function A described by A(5) = 32 gives
the area of the square. Find the area when the
side measures 8 inches
A.16
B. 25
C. 36
D. 64
19. After 2 minutes of running, John has a heart rate
of 82 heartbeats per minutes. After 3 minutes she has
a heart rate of 86 heartbeats per minutes. What will
be her heart rate 10 minutes of running?
A.114
B. 110
C. 106
D. 102
20. At a skating rink, an ice skater pays an initial
amount of Php 50 plus Php 10 for every hour of
use . If an skater spends 6 hours in the rink, the
amount spend would be.
A.100
B. 110
C. 200
D. 310
Group 1
HONNEY VEBES D. BAYLE
MIKYLLA R. ESCOBAR
CARLOS PHILIP MAR U. PASCUAL
EARL BRILLIANT P. DRIJE
PRINCE HARRY D. SALVACION

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E tech- Group 1

  • 1. Lesson 1 Representation of Real-Life Situations Using Functions, Including Piece-wise Functions
  • 2. 1. { (2,3), (-6,5), (0,-2), (-1,-5)} Function Not Function
  • 3. 2. {(1,3), (1,4), (2,5), (2,6), (3,7)} Function Not Function
  • 4. INPUT X OUTPUT Y -4 1 -3 2 -4 3 -5 4 Function Not Function 4.
  • 5. INPUT X OUTPUT Y 1 3 2 6 3 9 4 12 Function Not Function 5.
  • 7. 6. π‘₯2 + 𝑦 += 5 Function Not Function
  • 9. 1. Which of the following diagram represents a relation that is not a function? A. One to one B. One-to-many C. Many-to-one D. None of the above
  • 10. 2. Which of the following statements represents a function? A. Students of their current age? B. Countries to its capital? C. A store to its merchandise D. Teacher and student's relationship
  • 11. 3. A method of determining whether or not a graph represent a function is called the __________ . A. Diagonal Line test B. Horizontal Line Test C. Zigzag Line Test D. Vertical Line Test
  • 12. 4. Which of the following letters will pass the vertical line test? A. V B. X C. Y D. Z
  • 13. 5. The altitude of a plane is a function of the times since take off. What is the dependent variable? A. Time B. Speed C. Altitude D. All of the above
  • 14. 6. To evaluate a function is to __________ the variable in the function with a value from the function's domain and compute the result. A. Omit B. Simplify C. Skip D. substitute
  • 15. 7. If f(x)-2xΒ² - 3, find f(0). A. -5 B. -3 C. 0 D. 3
  • 16. 8. If g(x) 8x 1, find g(-2). A. 7 B. 1 C. 10 D. 17
  • 17. 9. Given q(x) = |x ^ 2 - 9| Find q(2) A. -5 B. -4 C. 4 D. 5
  • 18. 10. If h(x) = 3x ^ 2 + 2x - 1 , find h(- 1) A. -5 B. - 3 C. O
  • 19. 11. What of the following defines the difference of f – h given that f and h are functions? A. ( f + h )(x) = 𝑓 (x) + β„Ž(x) B. ( f + h ) (x) = 𝑓 (x) – β„Ž(x) C. ( f+ h ) (x) =𝑓(x) βˆ™ β„Ž (π‘₯) D. ( f+ h ) (x) =𝑓 (β„Ž π‘₯ )
  • 20. 12. The purpose of obtaining a composite function is called _______________. A. Composite function B. Compositing function C. Decomposition function D. Function composition
  • 21. 13. Which of the following notation is read as β€œ h composed with g? A. β„Ž(𝑔) B. β„Ž βˆ™ 𝑔 C. β„Ž Β° 𝑔 D. 𝑔 Β° β„Ž
  • 22. 14. Given 𝑓 π‘₯ = 2π‘₯ π‘Žπ‘›π‘‘ 𝑔 π‘₯ = 𝑋 + 5, 𝑓𝑖𝑛𝑑 𝑓 Β° 𝑔 π‘₯ . A. 2π‘₯ + 5 B. 2π‘₯ + 10 C. π‘₯ + 5 D. X + 10
  • 23. 15. Given 𝑓 π‘₯ = 4π‘₯ and g x = x βˆ’ 3, and (f βˆ™
  • 24. 16. ALVIN brougth 5 mangoes and 4 avocados for php23.00 only . How much is each avocado if one mango costs php 3.00? A.Php1.00 B. Php 2.00 C. Php 3.00 D. Php 4.00
  • 25. 17. A 100 gallon tank is initially full og water and being drained at a rate of 5 gallons per minutes. How much water left in the tank after 4 minutes? A.70 B. 75 C. 80 D. 85
  • 26. 18. The function A described by A(5) = 32 gives the area of the square. Find the area when the side measures 8 inches A.16 B. 25 C. 36 D. 64
  • 27. 19. After 2 minutes of running, John has a heart rate of 82 heartbeats per minutes. After 3 minutes she has a heart rate of 86 heartbeats per minutes. What will be her heart rate 10 minutes of running? A.114 B. 110 C. 106 D. 102
  • 28. 20. At a skating rink, an ice skater pays an initial amount of Php 50 plus Php 10 for every hour of use . If an skater spends 6 hours in the rink, the amount spend would be. A.100 B. 110 C. 200 D. 310
  • 29. Group 1 HONNEY VEBES D. BAYLE MIKYLLA R. ESCOBAR CARLOS PHILIP MAR U. PASCUAL EARL BRILLIANT P. DRIJE PRINCE HARRY D. SALVACION