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STPM PBS Assignment

STPM 2017 Mathematics (T) Term 1 Assignment

By KK LEE

July 3, 2016

STPM 2017 Term 1 MT Coursework Explained

JULY, 2016

Polynomial
Trigonometry
Transformation

I will start posting Mathematics (T) and Mathematics (M) coursework sample answer again this term. Only sample solution for mathematical part will be posted. Different school teacher have different requirement on the non-mathematical part (Introduction, methodology, and conclusion). That’s why i am not going to write it and post it here. Thanks.

Assignment A: Function (Investigation)
A function is a relation whereby every input gives a unique (exactly one) output. There are four
possible ways to represent a function; verbally, numerically, visually and algebraically.

Numbers

Photograph via Wikipedia

1. Discuss, with examples, the differences between a relation and a function.
2. Give at least five different representations of a simple discrete function.
3. Give at least three different representations of a continuous function.

“Please ask your school teacher for introduction, methodology, and conclusion.”

4. Consider the algebraic function $f:x\rightarrow a(x-b)^n+c$
Describe, with sketch graphs, the function f for different values of a, b and c for n = 1,2 and 3.
5 Repeat task 4 with the trigonometric function $g:x\rightarrow a\sin[n(x-b)]+c$ .
6 Repeat task 4 with an exponential or logarithmic function of your own choice.

“Please submit your introduction/methodology/conclusions if you wish to share with others by submit a comment below.”

Sample solution for the mathematical part.

For question 1. Please google for the definition.

For question 2. You can assign any functions but make sure your range is “integer”.

For question 3. You also can assign any functions but make sure your range is “any numbers”.

For question 4

For n=1. Some ideas for you. You can try a>0, a=0, a<0, b>0, b=0, b<0, c>0, c=0, c<0. So you will get many combinations. For the total number of combinations, please refer to your school teacher.

For n=2. Same.

For n=3. Same.

I am not going to sketch the graph for n=3. Please do it yourself. Thanks.

For question 5

For n=1. Some ideas for you. You can try a>0, a<0, a>c, c>a, b>0, b<0, b in first/2nd/3rd/4th quadrant. So you will get many combinations. For the total number of combinations, please refer to your school teacher.

In short. a is amplitude. b translation (left/right). c is translation (up/down).

For n=2. Same.

For n=3. Same.

I am not going to sketch the graph for n=2(frequency=2) and 3(frequency=3). Please do it yourself. Thanks.

5a

a=1, b=pi/6, c=2

5b

a=3, b=pi/6, c=2

5c

a=3, b=-pi/6, c=2

5d

a=2, b=-pi/6, c=3

5e

a=2, b=-pi/6, c=-3

5f

a=-2, b=-pi/6, c=-3

5g

a=-2, b=-pi/6, c=1

5h

a=3, b=5pi/3, c=1

For question 6

You can consider $h(x)=ae^{n(x-b)}+c$

For n=1. Some ideas for you. You can try a>0, a<0, b>0, b<0, b>0, c<0, c>0. So you will get many combinations. For the total number of combinations, please refer to your school teacher.

In short. a is scale factor(vertical). n is scale factor(horizontal). b translation (left/right). c is translation (up/down).

6a

a=1, b=0, c=0

6b

a=2, b=2, c=2

6c

a=-2, b=2, c=2

6d

a=-2, b=2, c=-2

Knowledge.

Photograph by jarmoluk via Pixabay

All solutions are updated now. I am not going to discuss the questions in class. Please Whatsapp me or comment below if you need my guidance.

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

35 Comments

Chan Chee Sam on July 4, 2016 at 7:47 pm

sir，hope u can upload the solution faster，thank u
Reply
- KK LEE on July 5, 2016 at 12:31 pm
  
  After my holiday
Anonymous on July 7, 2016 at 4:19 pm

Sir, I need the solution before the holiday ends as it is the deadline for my school.
Reply
- KK LEE on July 7, 2016 at 5:38 pm
  
  Sample solution will be posted when they are available or after i discuss the solution in class.
waisan on July 7, 2016 at 5:32 pm

for question 5? thanks
Reply
- KK LEE on July 7, 2016 at 5:38 pm
  
  Sample solution will be posted when they are available or after i discuss the solution in class.
LING CHIN SIENG on July 10, 2016 at 3:17 pm

How about Question No.6?
Reply
junnhaw on July 13, 2016 at 10:06 pm

how to do question no.6
Reply
- KK LEE on July 13, 2016 at 10:12 pm
  
  Solution will be posted only when they are available
Pei Yee on July 19, 2016 at 3:45 pm

Sir
My school teacher she won’t discuss any introduction, methodology and conclusion for our coursework.
Could you at least give some guidance on how to write those things??
Thank you
Reply
- yeohweyfern on October 14, 2016 at 11:33 pm
  
  halo
Olivia Ong on July 25, 2016 at 10:41 pm

Thank you sir, help me a lot. But hope u can upload the solution faster
Reply
- KK LEE on July 25, 2016 at 11:02 pm
  
  The solution is complete now
Loo kim hooi on July 27, 2016 at 10:59 pm

sir , for question 6 just do n=1 only?
Reply
- KK LEE on July 28, 2016 at 12:04 am
  
  No. You should do for n=2 and also n=3.
cl on August 22, 2016 at 8:50 pm

Can i know how to write for introduction, methodology and conclusion?
Reply
yong jia chen on August 23, 2016 at 10:16 pm

sir, how to explain the graph after sketching in question 4?
Reply
- KK LEE on August 24, 2016 at 8:30 am
  
  Parabola shape with transformations
allusers on August 30, 2016 at 11:03 pm

What is the function formula for the logaritma no.6… I need to know…u just show it for exponential…
Reply
Deepa Darshini on September 15, 2016 at 12:43 pm

Do we have to write a small conclusion for every graph that is drawn?
Reply
- KK LEE on September 15, 2016 at 10:00 pm
  
  It depends on your teacher.
XY on September 16, 2016 at 1:18 pm

sir,can you give me some guides for the introductions and methodology please?
Reply
- KK LEE on September 16, 2016 at 1:32 pm
  
  As mentioned above. Please refer to your teacher.
Siti Aisyah on September 17, 2016 at 11:50 pm

Can i know the website you are using to plot the graph?
Reply
- KK LEE on September 18, 2016 at 4:18 pm
  
  Graph. You can download from padowan.dk
Siti Aisyah on September 18, 2016 at 2:29 am

Sir may i know do we need to put a value in question 3? Because x is equal to all real number.
Reply
irfan on September 20, 2016 at 6:25 pm

sir, can help for methodology?
Reply
student on October 8, 2016 at 6:49 am

how i can do question four using microsoft excel. my teacher told us to plot the graph using microsoft excel.
Reply
- KK LEE on October 9, 2016 at 11:50 pm
  
  You can use the graph function in the excel. Youtube might help you.
- NavinJ on October 14, 2016 at 2:14 am
  
  ive tried excel for my graphs however it was to no avail because u cant get a graph just by keying in the equation with your chosen values of a b and c. U will need to key in the x-values which is painstakingly time consuming. The beauty of online generated graphs, the equation itself gives u a graph given that u have ur a b and c values. Screenshot and crop or use snipping tool to get the graph on microsoft words and arrange according to your liking. I hope your teacher is not insisting that u use excel and excel only…
NavinJ on October 14, 2016 at 2:07 am

sir, what do you mean by the scale factor for exponential graphs? when n increases, does the scale factor decrease?
Reply
student on October 21, 2016 at 7:19 pm

sir, can you help us for the introduction, methodology, and conclusion. my teacher wont help us.
Reply
Tiffany Cheah on March 9, 2017 at 7:54 pm

Hi, thanks for sharing.
Can you guide me how to do Term 2 assignment 2017?
Reply
Selventhraan on March 21, 2017 at 8:23 pm

Hello sir
Thanks for the sem 1 guidence. Will sir provide some guidence for the semester 2 project work
Reply
- KK LEE on April 25, 2017 at 3:14 am
  
  Yes