Function - Function Notation - Illustration of Function - Function in Real Life Situation - Evaluation on Function - Piece - Wise Function

1. Ma’am Alice L. Lagajino

6. Operations on Function

11. Function Notation

16. ILLUSTRATION OF
FUNCTION

17. X – First Element
Independent Variable
Y – Second Element
Dependent Variable
DOMAIN
RANGE

18. FUNCTION

19. NOT A
FUNCTION

20. NOT A
FUNCTION

21. FUNCTION

22. 3
4
5
A
B
C
FUNCTIO
NOne to One
Relation

23. 2
3
6
9
4
FUNCTIO
N
Many to One
Relation

24. NOT A
FUNCTIO
NOne to Many
Relation
3
2
3
6

26. FUNCTION

27. NOT A
FUNCTION

28. FUNCTION

29. FUNCTION IN REAL – LIFE
SITUATION

32. EVALUATION ON FUNCTION

33. To evaluate a function is to:
Replace (substitute) its variable
with a given number or
expression.

34. Solution:
f (4) = 3(4) - 5 = 7.
This answer can be thought of as the ordered pair (4,7).
The answer may also be referred to as the image of 4 under f (x).

35. Solution: Be sure to use parentheses!
Be careful - more algebra work is needed here.
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) - 3

36. f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) - 3
Did you multiply? = 2(4a2 + 12a + 9) + 8a + 12 - 3
= 8a2 + 24a + 18 + 8a + 12 - 3
= 8a2 + (24a + 8a) + (18 + 12 – 3)
= 8a2
+ 32a + 27

39. 5

40. 5 0

41. 5 0 -3

42. 5 0 -3 -4

43. 5 0 -3 -4 -3

44. 5 0 -3 -4 -3 0

45. 5 0 -3 -4 -3 0 5

50. PIECE – WISE FUNCTION

56. 𝒇 𝒙 =
𝟕𝒙 + 𝟑, 𝒙 < 𝟎
𝟕𝒙 + 𝟔, 𝒙 ≥ 𝟎

57. 𝒇 𝒙 =
𝟕𝒙 + 𝟑, 𝒙 < 𝟎
𝟕𝒙 + 𝟔, 𝒙 ≥ 𝟎

58. 𝒇 𝒙 =
𝟕𝒙 + 𝟑, 𝒙 < 𝟎
𝟕𝒙 + 𝟔, 𝒙 ≥ 𝟎

59. 𝒇 𝒙 =
𝟕𝒙 + 𝟑, 𝒙 < 𝟎
𝟕𝒙 + 𝟔, 𝒙 ≥ 𝟎

62. f(x) = 2x+4; x>0
x=1 f(1)=2(1)+4=6
x=2 f(2)=2(2)+4=8
x=3 f(3)=2(3)+4=10
f(x) = 4-2x; x<0
x=-1 f(-1)=4-2(-1)=4+2=6
x=-2 f(-2)=4-2(-2)=4+4=8
x=-3 f(-3)=4-2(-3)=4+6=10

63. f(x) = x^2; x<2
x=1 f(1)=(1)^2=1
x=0 f(0)=(0)^2=0
x=-1 f(-1)=(-1)^2=1
f(x) = 1; x=2
x=2 f(2)=1
f(x) = 4; x>2
x=3 f(3)=4
x=4 f(4)=4
x=5 f(5)=4