GRAPHIC CALCULATOR!!!!!!!!!!!!!

HAHAHA...WONDERING WHAT I COULD POSSIBLY POST ON A SUNDAY..WHEN THERE'S NO COLLEGE..NO CLASS..AND I'M SUPPOSE TO BE ENJOYING MY HOLIDAY?? HEHEH..JUST THAT I COULDNT RESIST THE TEMPTATION TO POST SOMETHING ON MY BLOG..SO JUST WANNA TELL EVERYONE..DON'T FORGET TO LEARN YOUR GRAPHIC CALCULATOR BY HEART YA..IT WILL HELP A LOT IN ALL THE NEXT LESSONS..I'LL BE BACK TOMORROW..BUBYE!!!

AND....WE COME TO THE END OF OUR WONDERFUL 2ND WEEK ^^

TIME FLIES THAT PAST, ISN'IT??? ANIWAY..I'VE GOT NOTHING MUCH TO WRITE TODAY..YOU'RE WONDERING WHY??? HAHA..BECAUSE TODAY'S LESSON WAS JUST THE SAME AS YESTERDAY..WE JUST DID EXTRA EXERCISES TO ENHANCE OUR UNDERSTANDING OF THIS TOPIC..SO TO MAKE UP FOR MY LITTLE WORDS, I HAVE INCLUDED A VIDEO(NOT THAT I HAVE NEVER POSTED VIDEOS BEFORE..HEHEH) HERE TO EXPLAIN MORE ABOUT TODAY'S LESSON..=.=

At LaSt I CoMe To WhAt We StUdIeD tOdAy!!!

AFTER SO MANY POSTS, AT LAST I CAN WRITE ABOUT WHAT WE STUDIED TODAY..TODAY'S CLASS WAS ABOUT CHARACTERISTICS OF POLYNOMIAL FUNCTIONS...IT WAS SOMETHING TOTALLY NEW..SO WE ALL HAD TO PAY EXTRA ATTENTION IN CLASS..AS I AM KINDA TIRED OF TYPING SINCE JUST NOW, I'LL GET STRAIGHT TO THE POINT ALRIGHT..CHEERS!!

INFO TO KNOW ~

ODD DEGREE FUNCTION WITH POSITIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = ANY VALUE
END BEHAVIOUR = EXTENDS FROM QUADRANT 3 TO QUADRANT 1
NO. OF ABSOLUTE MAX/MIN POINTS = 0
NO. OF TOTAL LOCAL MIN POINTS = 0
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 1, MAX n

ODD DEGREE FUNCTION WITH NEGATIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = ANY VALUE
END BEHAVIOUR = EXTENDS FROM QUADRANT 2 TO QUADRANT 4
NO. OF ABSOLUTE MAX/MIN POINTS = 0
NO. OF TOTAL LOCAL MIN POINTS = 0
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 1, MAX n

EVEN DEGREE FUNCTION WITH POSITIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = VALUES GREATER THAN OR EQUAL TO a(a CAN BE SEEN IN THE GRAPH)
END BEHAVIOUR = EXTENDS FROM QUADRANT 2 TO QUADRANT 1
NO. OF ABSOLUTE MAX/MIN POINTS = 1
NO. OF TOTAL LOCAL MIN POINTS = 1
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 0, MAX n

EVEN DEGREE FUNCTION WITH NEGATIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = VALUES GREATER THAN OR EQUAL TO a(a CAN BE SEEN IN THE GRAPH)
END BEHAVIOUR = EXTENDS FROM QUADRANT 3 TO QUADRANT 4
NO. OF ABSOLUTE MAX/MIN POINTS = 1
NO. OF TOTAL LOCAL MIN POINTS = 1
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 0, MAX n

LeSsOnS bY dIfFeReNt TeAcHeR :)

YUP..YOU ALL READ MY POST RIGHT..YESTERDAY'S LESSON WAS THOUGHT BY MS. MALAR BECAUSE UNFORTUNATELY MS. JOANNE COULD'NT COME TO CLASS TODAY..SO BASICALLY WE LEARNED ONE MAIN THONG TODAY..FINITE DIFFERENCES..IT WAS NOT THAT HARD BECAUSE WE LEARNT A BIT ABOUT IT LAST WEEK..AND I HAVE ALSO NOTED DOWN SOME INFORMATION ON FINITE DIFFERENCE BEFORE...WE WERE ALSO TAUGHT HOW TO USE GRAPHIC CALCULATOR TO FIND FINITE DIFFERENCE WHICH IS SO MUCH EASIER THAN DOING MANUALLY TRUST ME..HEHEH..AND WE WERE ALSO GIVEN HOMEWORK OF EXPLORING OUR CALCULATORS FUNCTIONS MAINLY LEARNING HOW TO FIND THE VALUES OF AN EQUATION USING JUST A GIVEN TABLE OF X AND Y VALUES...AND IT WAS HARD TO DO IT AT FIRST..WE HAD TO TRY LIKE SO MANY TIMES..BUT ATLAST WE GOT IT..WELL, I DIDNT GET IT REALLY..IT WAS MY FREN WHO GOT IT AND TAUGHT ME HOW TO DO IT XD!!!

SO...IMPORTANT THINGS YESTERDAY ~

EXPONENT OF A TERM IS CALLED n

nTH CONSTANT DIFFERENCE = HIGHEST EXPONENT OF AN EQUATION

SIGN OF CONSTANT FINITE DIFFERENCE = SING OF LEADING COEFFICIENT

LEADING COEFFICIENT = CONSTANT FINITE DIFFERENCE / n!

! = FACTORIAL (EXP : 4! = 4 x 3 x 2 x 1)

3..2..1!!! LeTs BeGiN cHaPtEr 1...

YEAHHH..AT LAST..WE START CHAPTER 1!! DO I SOUND TOO ENTHUSIASTIC??? MAYBE :P SO I'LL JUST COMBINE THE LESSONS WE LEARNED FOR TWO DAYS (25 JULY AND 26 JULY) AS IT IS BOTH ABOUT POWER FUNCTIONS..SO WE LEARNED MANY THINGS TODAY..

THINGS TO REMEMBER ~

EXPONENT OF A POLYNOMIAL FUNCTION MUST BE A POSITIVE WHOLE NUMBER

WHEN THE HIGHEST EXPONENT OF AN EQUATION IS ODD,
DOMAIN = ANY VALUE
RANGE = ANY VALUE
SYMMETRY = POINT (0,0)
END BEHAVIOUR = AS x$\to$$\infty$, y$\to$$\infty$ AS x$\to$-$\infty$, y$\to$-$\infty$

WHEN THE HIGHEST EXPONENT OF AN EQUATION IS EVEN,
DOMAIN = ANY VALUE
RANGE = GREATER OR EQUAL TO ZERO
SYMMETRY = LINE (x=0)
END BEHAVIOUR = AS x$\to$$\infty$, y$\to$$\infty$ AS x$\to$-$\infty$,y$\to$$\infty$

END BEHAVIOUR
EXTENDS FROM QUADRANT 3 TO QUADRANT 1 = ODD EXPONENT, + COEFFICIENT
EXTENDS FROM QUADRANT 2 TO QUADRANT 4 = ODD EXPONENT, - COEFFICIENT
EXTENDS FROM QUADRANT 2 TO QUADRANT 1 = EVEN EXPONENT, + COEFFICIENT
EXTENDS FROM QUADRANT 3 TO QUADRANT 4 = EVEN EXPONENT, - COEFFICIENT

YeAhHh...OnE mOrE tO gO tO eNd PrErEqUiSiTe SkiLls!!!

SO WE COME TO THE END OF OUR FIRST WEEK WITH THE ENDING REVISION OF PREREQUISITE SKILLS..WE DID TRANSFORMATIONS IN CLASS TODAY WHICH WAS ALSO SOMETHING NEW..SO MY NOTES HERE ARE JUST WHAT I COPIED FROM MS.JOANNE'S NOTES IN CLASS..AS IT'S THE BEST..HOPE YOU DON'T MIND MS.JOANNE..HEHE...

THINGS TO NOTE ~

GENERAL FUNCTION : y = - a. f( k(x+b) ) + c

'-' means refection in the x-axis

a$>$1 means vertical stretch of factor a
0$<$a$<$1 means compression of factor a

k$>$1 means horizontal compression of factor 1/k

0$<$k$<$1 means horizontal stretch of factor 1/k

b$>$0 means horizontal shift b units left
b$<$0 means horizontal shift b units right

c$>$0 means vertical shift c units up
c$<$0 means vertical shift c units down

f(-x) means reflection in y-axis (horizontal)
-f(x) means refelction in x-axis (vertical)

PrErEqUiSiTe SkIlLs!!! BuT sOmEtHiNg NeW ???

SO ON 21ST JULY 2011 WE WERE SUPPOSE TO STUDY PERERQUISITE SKILLS WHICH MEANS REFRESHING MINDS ABOUT WHAT WE STUDIED LAST TIME..BUT..........THIS WAS SOMETHING NEW FOR ALL OF US SUPRISINGLY..WE STUDIED ABOUT ABSOLUTE FUNCTIONS AND ABOUT DOMAIN AND RANGE ON THAT DAY...WELL, YOU ALL KNOW WHAT ABSOLUTE FUNCTIONS IS...WHEN YOU REMOVE THE │ │ SIGN FROM AN EQUATION, YOUR VALUE ON THE OTHER SIDE WILL BE BOTH NEGATIVE AND POSITIVE..SO YOU WILL HAVE TWO ANSWERS...SO ITZ THE DOMAIN AND RANGE RANGE PART THAT WAS A BIT NEW TO US..WE ONLY LEARNED THE BASIC IN HIGH SCHOOL..

THINGS TO KNOW...

DOMAIN = VALUES OF X

RANGE = VALUES OF Y

INFINITE SYMBOL = $\infty$

X$\in ℝ$ FOR ALL POLYNOMIALS

WHEN YOU REMOVE THE │ │ SIGN FROM AN EQUATION, YOUR VALUE ON THE OTHER SIDE WILL BE BOTH NEGATIVE AND POSITIVE..SO YOU WILL HAVE TWO ANSWERS

DENOMINATOR OF A FRACTION CANNOT BE ZERO

EXPRESSION UNDER EVEN ROOT IS GRETER OR EQUAL TO ZERO

ODD POWERED ROOTS HAVE NO RESTRICTIONS

NOW LETS EXPLORE OUR FIRST "STUDY" CLASS =.=

SO WHAT WE DID ON 2OTH JULY IS START OUR STUDY LESSONS...BUT WE DID NOT START OUR CHAPTER 1 TOO FAST...MS. JOANNE GAVE US SOME LESSONS ON PREREQUISITE SKILLS...THESE QUESTIONS ARE THE SAME ONES THAT WE STUDIED DURING OUR HIGH SCHOOL.. IT'S MERELY A REPEAT ABOUT THE BASICS OF FUNCTION NOTATION, SLOPE AND Y-INTERCEPT OF A LINE AND EQUATION OF A LINE..AND OHH YES..WE DID LEARN SOMETHING NEW, FINITE DIFFERENCES..MS.JOANNE THOUGHT WE HAD STUDIED ON IT LAST TIME BUT NONE OF US HAD..SO SHE TAUGHT US MORE ON THAT..BUT FNITE DIFFERENCE IS A QUITE SIMPLE EXERCISE TO UNDERSTAND I THINK...

WHAT YOU NEED TO KNOW...

FUNCTION NOTATION ~ LEARN HOW TO SUBSTITUTE VALUES OF X INTO EQUATION

SLOPE AND Y-INTERCEPT OF A LINE ~ REMEMBER THE FORMULA Y=MX+C..AND LEARN TO STATE THE GRADIENT(M) AND Y-INTERCEPT(C) FROM AN EQUATION

EQUATION OF A LINE ~ LEARN TO BUILD AN EQUATION FOR A LINE THAT SATISFIES SETS OF CONDITION GIVEN LIKE SLOPE, X-INTERCEPT, Y-INTERCEPT AND POINTS

FINITE DIFFERENCES ~ LEARN TO DETERMINE FINITE DIFFERENCES USING GRAPHIC CALCULATOR AND MANUAL CALCULATION TO FIND OUT HIGHEST EXPONENT OF AN EQUATION AND THE SIGN OF THE LEADING COEFFICIENT...SO IF GET THE 1ST FINITE DIFFERENCE(FD)- LINEAR EQUATION, 2ND FD - QUADRATIC EQUATION, 3RD FD - CUBIC FUNCTION, 4TH FD - QUARTIC FUNCTION, 5TH FD - QUINTIC FUNCTION...AND SO ON

LeT's StArT wItH oUr LeSsOnS!!! ^^

OOPS!! THAT SOUNDS SO LIKE A TEACHER :P LET'S CHANGE IT THEN..HMMM..HMMM..GOT IT!! LET'S EXPLORE OUR FIRST LESSON TOGETHER!! ^^ THIS BLOG IS ABOUT CHAPTER 1 ADVANCED FUNCTION : POLYNOMIAL FUNCTIONS..OH WAIT..I FORGOT..WE DID NOT STUDY ANY ADVANCED FUNCTIONS ON OUR FIRST DAY..OUR FIRST DAY WAS A FUN EXPERINCE OF GETTING TOO KNOW OUR NEW FRENZ AND TEACHERZ.. I REMEMBER WE HAD AN ICE BREAKING SESSION ON THAT DAY..EACH US WERE ASKED TO STICK A PAPER ON OUR BACK AND INTRODUCE OURSELVES TO OUR NEW FRIENDS AND THEY WILL HAVE TO WRITE ON THE PAPER ABOUT THEIR FIRST IMPRESSION ON US..IT WAS REALLY INTERESTING TO SEE ALL THE WORDS OF WHAT OTHERS THINK OF US..BUT I DON'T WANT TO TELL HERE WHAT WORDS I GOT..HEHEH..WE EVEN WROTE SOMETHING ON MS.JOANNE'S PAPER TOO XD!!! WELL, TATZ MORE TO THE FUN PART..WE WERE ALSO GIVEN SOME INFORMATION REGARDING OUR SUBJECT BY MS.JOANNE..70% OF OUR ASSESMENT MARKS WILL BE COUNTED THROUGH QUIZ, TESTS, PROJECTS AND ASSIGNMENTS WE WILL HAVE TO DO..NOT MUCH THOUGHT TO GIVEN TO IT THEN..BUT KNOW WE REALISE HOW IMPORTANT IS IT TO DO ALL OUR ASSIGNMENTS (LIKE WHAT I AM DOING NOW..HAHA) ^^

WhAt We WeRe TaUgHt By Our aWeSoMe TeAcHeRz In OnE wEeK ???

HEHE..YOUR THINKING WHY I SAID "TEACHERZ" INSTEAD OF "TEACHER"..WELL, WE ARE LUCKY ENOUGH TO HAVE NOT JUST ONE TEACHER BUT TWO TEACHERZ WHO ARE GUIDING US IN OUR ADVANCED FUNCTION CLASS..MS. JOANNE AND MS. MALAR..YEAHH!! BUT IT'S MAINLY MS. JOANNE THAT TEACHES US EVERYDAY ^^ SO AS YOU KNOW, I STARTED THIS BLOG ONLY YESTERDAY...NEVERTHELESS WE STARTED LESSON LAST WEEK..SO I AM GONNA HAVE TO TELL YOU ALL WHAT WE LEARNED THROUGHOUT THE PAST WEEK...WELL, TO MAKE IT EASIER I WILL POST WHAT WE LEARNT ACCORDING TO EACH CLASS ALRIGHT??? OKAY..HAVE FUN READING IT!! XD =.=

AfTeR oNe WeEk In ClAsS...

YEAHHHH!!! THAT FAST TIME FLIES..IT SEEMS JUST LIKE YESTERDAY THAT I REGISTERED IN FOR THIS PROGRAMME..BUT YET ONE WEEK HAS GONE PAST..AND IT WAS NOT A LIGHTWEEK FOR ALL OF US..WE HAVE ALREADY STARTED LEARNING AND THERE'S HOMEWORK EVERYDAY..AND WE HAVE NOW GOTTEN OUR FIRST ASSIGNMENT FOR THE SEMESTER...WHICH BRINGS ME TO THIS VERY BLOG..I'M GONNA HAVE TO MAKE THIS BLOG AS AN E-JOURNAL FOR THE CHAPTER 1 ADVANCED FUNCTION..SOME MIGHT FIND THIS ADDITIONAL HOMEWORK BURDENING..WELL, YEAH..WHAT WITH THE ASSIGNMENTS OF ALL OTHER SUBJECTS..BUT I THINK THIS ONE ASSIGNMENT THAT I HAVE GOT IS SO FAR THE BEST!! "CREATING A BLOG!!!" HOW COOL IS THAT..VERY~ AND EVEN MORE FOR THOSE LIKE ME WHO ARE CREATING A BLOG FOR THE FIRST TIME..ITZ LIKE EXPLORING SOMETHING NEW :) NOW THAT I HAVE EXPLORED IT A BIT, I WILL BE STARTING TO POST SOME COMMENTS, IMAGES AND VIDEOS IN THIS BLOG TODAY..SO TO ALL MY FRIENDS WHO VISIT MY BLOG..HOPE YOU ALL WILL FIND THE INFORMATION HERE USEFUL YA!! AND PLEASE POST ANY COMMENTS IF YOU WOULD LIKE TO SAY SOMETHING ABOUT BY BLOG..THANKZZ!!! ^^

FiRsT tImE bLoGgEr??? Oh NoOoOoOoOo!!!

HaHaHa..JuZ kIdDiNg!!!

WeLcOmE eVeRyOnE ^^