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Discussion –

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Discussion –

35

# STPM 2017 Mathematics (T) Term 1 Assignment  STPM 2017 Term 1 MT Coursework Explained
03
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.
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 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.

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).

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 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.

1. sir，hope u can upload the solution faster，thank u

• After my holiday

2. Sir, I need the solution before the holiday ends as it is the deadline for my school.

• Sample solution will be posted when they are available or after i discuss the solution in class.

3. for question 5? thanks

• Sample solution will be posted when they are available or after i discuss the solution in class.

4. 5. how to do question no.6

• Solution will be posted only when they are available

6. 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

• halo

7. Thank you sir, help me a lot. But hope u can upload the solution faster

• The solution is complete now

8. sir , for question 6 just do n=1 only?

• No. You should do for n=2 and also n=3.

9. Can i know how to write for introduction, methodology and conclusion?

10. sir, how to explain the graph after sketching in question 4?

• Parabola shape with transformations

11. What is the function formula for the logaritma no.6… I need to know…u just show it for exponential…

12. Do we have to write a small conclusion for every graph that is drawn?

• 13. sir,can you give me some guides for the introductions and methodology please?

• 14. Can i know the website you are using to plot the graph?

• 15. Sir may i know do we need to put a value in question 3? Because x is equal to all real number.

16. sir, can help for methodology?

17. how i can do question four using microsoft excel. my teacher told us to plot the graph using microsoft excel.

• • 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…

18. sir, what do you mean by the scale factor for exponential graphs? when n increases, does the scale factor decrease?

19. sir, can you help us for the introduction, methodology, and conclusion. my teacher wont help us.

20. Hi, thanks for sharing.
Can you guide me how to do Term 2 assignment 2017?

21. • 