Lesson-1.pptx

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. 𝑥2
+𝑦2
Y2 -6=0
Function
Not Function

6. 𝑥2
+ 𝑦 += 5
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)-2x² - 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) + ℎ(x)
B. ( f + h ) (x) = 𝑓 (x) – ℎ(x)
C. ( f+ h ) (x) =𝑓(x) ∙ ℎ (𝑥)
D. ( f+ h ) (x) =𝑓 (ℎ 𝑥 )

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 “ h
composed with g?
A. ℎ(𝑔)
B. ℎ ∙ 𝑔
C. ℎ ° 𝑔
D. 𝑔 ° ℎ

14. Given 𝑓 𝑥 = 2𝑥 𝑎𝑛𝑑 𝑔 𝑥 = 𝑋 +
5, 𝑓𝑖𝑛𝑑 𝑓 ° 𝑔 𝑥 .
A. 2𝑥 + 5
B. 2𝑥 + 10
C. 𝑥 + 5
D. X + 10

15. Given 𝑓 𝑥 = 4𝑥 and g x = x − 3, and (f ∙

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

Lesson-1.pptx

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