9. SH1612
• with each element in the first
set, there corresponds to one
(1) and only one element in the
second set.
10. SH1612
With each person in a class there
corresponds an assigned seat.
With each day of a year there
corresponds an assigned integer
that represents the high
temperature for that day in a
certain geographic location.
www.canstockphoto.com
www.google.co
m
www.google.co
m
12. SH1612
With each day of a year there
corresponds an assigned integer that
represents the high temperature for
that day in a certain geographic
location.
www.google.com
13. SH1612
The first set is called the domain.
The set of all corresponding
elements in the second set is
called the range.
14. SH1612
What can go into a function is
called the DOMAIN.
What may possibly come out of a
function is called the CODOMAIN.
What actually comes out of a
function is called the RANGE.
19. SH1612
𝑆 = 1,4 , 2,3 , 3,2 , 4,3 , 5,4
𝑆 = 1,4 , 2,3 , 3,2 , 2,4 , 1,5
www.google.co
m
www.google.co
m
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A = {(3, 2), (3, 5), (1, 7), (2, 9)}
B = {(-8, 4), (4, 5), (7, 4), (2, 1)}
Given these set of ordered
pairs, present them in an arrow
diagram and identify whether a
relation is a function or not.
20. SH1612
Reflection Question
How are functions
reflected in your
everyday life?
Can you give other examples
of functions you encounter
on a daily basis?
30. SH1612
Example:
The cost of hiring a catering service to serve food
for a party is P150 per head for 20 persons or less,
P130 per head for 21 to 50 persons, and P110 per
head for 51 to 100 persons. For 100 or more
persons, the cost is at P100 per head. Represent
the total cost as a piecewise function of the
number of attendees of the party.
Solution:
C(h)=
{
150ℎ; if 0 < h < 20
130h; if 21 < h < 50
110h; if 51 < h < 100
100h; if h > 100
(Number of
head)
31. SH1612
Example:
A user is charged P300 monthly for a particular
mobile plan, which includes 100 free text
messages. Messages in excess of 100 are charged
P1 each. Represent the amount of a consumer
pays each month as a function of the number of
messages m sent in a month.
Solution:
A(m)={300; if 0 < m < 100
300 + (m-100); if m > 100
Number of
messages
sent in a
month
32. SH1612
Example:
You have a summer job that pays time and a half for
overtime. That is, if you work more than 40hrs per
week, your hourly wage for extra hours is 1.5 times
your normal hourly wage of P30.
1. Write a piecewise function that gives your weekly
pay P in terms of the number of hours h you work.
2. How much will you get paid if you work 45hrs?
Solution:
P(h)= {30ℎ; if 0 < h < 40
1200 + 1.5(30)(h-40); if h > 40
33. SH1612
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A consultant’s fee is based on the length of time.
Up to 6 minutes costs 500 pesos
Over 6 to 15 minutes costs 1000 pesos
Over 15 minutes costs 1500 pesos plus 100 pesos
per minute above 15 minutes
Length of Time Consultant’s fee
5 minutes
12 minutes
20 minutes
34. SH1612
Length of Time Consultant’s fee
5 minutes 500 pesos
12 minutes 1000 pesos
20 minutes 2000 pesos
