Math Olympiad For Primary School » function

Function

admin — Sun, 07 Nov 2010 10:20:56 +0000

A function f(x) has the following properties:

i) f(1) = 1
ii) f(2x) = 4f(x) + 6
iii) f(x + 2) = f(x) + 12x + 12

Calculate f(6) !

Solution ?

Solution:
Using property iii) with x = 1,
f(3) = f(1) + 12(1) + 12 = 1 + 12 + 12 = 25
since f(1) = 1 by property i).
Using property ii) with x = 3,
f(6) = 4f(3) + 6 = 4(25) + 6 = 106
Therefore, the value of f(6) is 106.

Mathematics module: Composition and Inverse Functions

admin — Mon, 08 Feb 2010 08:43:07 +0000

“Sharing never lose”. Perhaps the phrase that’s good for the bloggers who always share their experiences, free tutorials, instructions and so forth. I am also a blogger. Crossing in the Internet is almost 3 years. One thing that I can conclude by sharing with others is that I have a feeling satisfied. Might ask: “What I have shared premises?”. The classic answer is charity. But with doing a good deed, the door of fortune will always be opened for us. I never thought of profit and loss if it is shared. Principle, God would know all of our effort.
Mathematics and computer fields I studied since along years ago. Presumably, sharing is never lost. In the second post in February of this month I will share modules Math: Composition and Inverse Functions.
Competency standards:
5. Determining the composition of two functions and the inverse of a function

Basic Competence
5.1 Determining the composition of the functions of the two functions
5.2 Determining the inverse of a function

Mathematics module is used for the 1st semester of classes XI. At the end of the module there are 10 practice questions and answer key. Hopefully the module is useful for students, teachers, parents, and who I want to learn mathematics.

Please use a good for preparation:
1. End Semester Examination
2. Mid-Semester Exams
3. Ascension Class Exam
4. National Examination Preparation
5. Preparation UM PT
6. Preparation SNMPTN etc..

Click here to download (doc-697 KB)

Hopefully useful.

Regards,
Istiyanto

Pattern and Functions

admin — Mon, 25 Jan 2010 10:29:23 +0000

Work in groups. Consider the original problem again. That is, you deposit $1,000 for 18 y in a bank that pays interest at a rate of $,05 for every dollar in account each year.

Without calculating, predict which of these changes would increase the final amount the most.
-doubling the starting amount from $1,000 to $2,0000
-doubling the rate the bank pays to $.10 for every dollar in the account eacr year
-doubling the time from 18 y to 36 y