Add Maths 2012 Project - FUNCTION (BI) Evozi
3
ADDITIONAL MATHEMATICS PROJECT WORK 2012 PART 1 A family is an important institution in a society. Everyone’s hope is to have a happy family. A closely knitted family will ensure the well-being of the community and hence the nation. Below is an example of Zulkefli and Aminah’s family tree. Answer the questions below based on the family tree given. Diagram 1 a) Based on Diagram 1, list at least 5 different sets (Example : set of sons). b) Based on Diagram 1, draw at least three arrow diagrams to show the relation of the family. Hence, i) determine the domain, codomain, objects, images and range. ii) recognise the type of relation. iii) represent each relation above using other methods. Zulkefli & Aminah Daughter A & Son-in- law Grand daughter E & grandson-in- law Grand son J & grand daughter-in- law Great grand daughter P Grand son K Son C & daughter- in-law Grand daughter F Grand son G & grand daughter-in- law Grand son H Grand daughter L Great grand daughter M Great grandson N Daughter B & son-in- law Son D & daughter- in-law
Transcript of Add Maths 2012 Project - FUNCTION (BI) Evozi
ADDITIONAL MATHEMATICS PROJECT WORK 2012
ADDITIONAL MATHEMATICS PROJECT WORK 2012PART 1
A family is an important institution in a society. Everyones hope is to have a happy family. A closely knitted family will ensure the well-being of the community and hence the nation.
Below is an example of Zulkefli and Aminahs family tree. Answer the questions below based on the family tree given.
Diagram 1
a) Based on Diagram 1, list at least 5 different sets (Example : set of sons).b) Based on Diagram 1, draw at least three arrow diagrams to show the relation of the family. Hence, i) determine the domain, codomain, objects, images and range.ii) recognise the type of relation.iii) represent each relation above using other methods.
c) Based on (b), which relation is a function? State your reason.Part 2
a) You are required to come out with an attractive and creative card. Your card must have the following information.
i) a family photoii) a family tree
b) Write a short description about your family in not more than 150 words.
Part 3
Based on Diagram 3, answer the following questions.
Diagram 3Find
a) function and function .b) the inverse function and .
c) composite function , , and .
d) function and . Is = ?e) What can you deduce from the following composite function?
and
Hence, deduce the value of .
Further Explorationa) The function g is defined by . Findi) , , , , and .ii) Hence, state the function and , where n is a positive integer.b) Given the function is defined by . Find . Therefore deduce the inverse functions for the followings. Check your answers using another method.
i)
ii)
iii)
Reflection
While you were carrying out this project, what did you learn? What moral values did you put into practice? Represent your opinion or feelings creatively by using symbols, illustrations, paintings or songs.END OF PROJECT PAPERZulkefli & Aminah
Daughter A & Son-in-law
Grand daughter E
& grandson-in-law
Grand son J & grand daughter-in-law
Great grand daughter P
Grand son K
Son C & daughter-in-law
Grand daughter F
Grand son G & grand daughter-in-law
Grand son H
Grand daughter L
Great grand daughter M
Great grandson N
Daughter B & son-in-law
Son D & daughter-in-law
1
0
2
2
3
5
4
9
25
f
g
_1392485717.unknown
_1392485904.unknown
_1392485957.unknown
_1392486066.unknown
_1392486117.unknown
_1392486154.unknown
_1392486021.unknown
_1392485925.unknown
_1392485938.unknown
_1392485913.unknown
_1392485882.unknown
_1392485894.unknown
_1392485779.unknown
_1392485826.unknown
_1392485872.unknown
_1392485807.unknown
_1392485744.unknown
_1392485551.unknown
_1392485624.unknown
_1392485633.unknown
_1392485584.unknown
_1392484666.unknown
_1392485293.unknown
_1392485522.unknown
_1392484996.unknown
_1392484176.unknown
_1392484333.unknown
_1392480810.unknown
_1392480824.unknown
_1392480697.unknown
