Nama : Diyani Arif Setyorini
Nim : 07305144032
Prodi/Sem : Matematika NR 07 / 03
Course : English II
Phone Number : 085643062428
Email : diyan_imoetz_bgdz@yahoo.co.id
I.Pre Calculus
Graph of a rational function can have discontinutres has a polynomial in the denominator.
For example :
When x=2, so equation 
= 
This is imposible because 
is infinite, so 
when x=2 not rational function.
Graph 
We to search for point in graph 
, we must input 0,1,2 and etc in rational function.
1).Insert 0
when x=0
= 
2).Insert 1
when x=1
3).Insert 2
, when x = 2
, this is not allowed.
In a relation functios, zero notallowed as the denominator
Break missing point , for example
When y = 2, so 
is bad because denominator not always zero.
We must give factor top and botton.
when x = 2 is no problem
II. Limit by Inspection
There are 2 condition :
1) x goes to positif or x goes to infinity.
2) Value limitz is number.
For example :
Limits from
1).Polynomial over polynomial
ex : 
2).Defential equation
ex :
Limitz algebra function :
1). Limitz function for x à a
exs : 
exs : 
value limits function f(x) = 
, so we must use factoring
= (2)2 + 5(2)-2 = 12 
2).Limitz function for x à 6
because value limitz function f(x) = , so we use factoring.
3).Limitz function for xà 
for example value limitz function f(x) in x à with method numerator and denominator devided highest power of x.
exs : 
= 
III. Solving problem graph math.
1).There is a function y = g(x), if the function h is defined by h(x)=g(2x)+2, h(1)=?
Answer :
h(1) = g(2) +2
= 1 + 2
= 3
2).Let the function f be defined by f(x) = x+1. If 2f(p) = 20. What is the rule of f(3p)?
Answer :
We can analog f(3p) with a function f when x=3p
F(x) = x + 1
2 f(p) = 20
f(p) = 10
if x = p we get f(p) = p + 1
10 = p + 1
p = 9
x = 3p
x = 3.9
x=27
So f(x) = x +1, f(27) = 27 + 1
f(27) = 28
3). In the xy-coordinate plane, the graph of 
intersects line 
at 
and 
. what is the greatest possible value of slope of line ?
Answer :
|
|
|
| 0 5 | p t |
Line 
: 
= 
IV. Inverse function
1). Let function f be defined by 
, what is the 
Answer :
There is a line which has the equation of 
in the graph. If we substitute it to the known equation, we get 
→ 
(1,1)
So, the intersection point between 
with 
is 
Now, we solve this equation
As we know that 
And,
Because, 
, so 
. Or we can say that 
2).Let function f be defined by 
, what is the intersection point between the function with x and y coordinate plane?
Answer : we can solve this equation.
If 
So, the interscetion point is 
EXAMPLE HOW DIFFICULT SPEAK ENGLISH
Name : Diyani Arif Setyorini
NIM : 07305144032
Partner : Aisyah Mirnawati
Time : 30 December 2008
Place : FMIPA
Speak english is difficult in my live because I not accustomed herself speak in english. But finish learn English language my to start learn again. I tell to Aisyah about quadratic function in large building part south. I tell about quadratic function is function to have variable with power highest two, consider quadratic function is f (x) = ax 2 + bx + c ; a not zero and a,b,c is real number. For example: f(x) = x2 – 4 and f(x) = 2x2 + 5x +6.
The quadratic function have the shape of parabola curve, for to draw the parabola curve we must :
a) To define cut point with x axis, can to consider y axis equals zero (y = 0), so ax2 + bx + c = 0, we can to get two roots x or one roots x to same. We to get with factoring and abc formula.
b) To define cut point with y axis, can to consider x axis equals zero (x = 0) We substitute in equation x = 0
c) To define axis of symmetry is x = -b / 2a
d) To define back side point curve y = ax2+ bx + c
Aisyah only to listen with careful, without to ask about my explanation. To finish I tell about quadratic functions, I to ask in Aisyah, “Are you understand about my explanation ?”. Aisy answer, ” yes, but I not understand about back side point”. “ ok ! I will explanation again about back side point”, I talk. There are two back side point is maximum and minimum, if maximum is a < y =" -D"> 0 and y = - D/ 4a. So coordinate back side point is ( -b / 2a , -D /4a).
“How are you understand ?”,I talk. Aisyah answer, “yes, I am finished understand”. Then “I want you give one example for me about quadratic function?” , I ask. Aisyah answer, “ x2 + 4x -5, cut point is x 1 = 1 and x2 = -5, cut point y axis is y = -5, axis is symmetry is x = -2 and back side point is y = 1. “ oh good “ , I talk. To be proved Aisyah can understand about quadratic function in my explanation. Aisyah talk with me, “ You successful explanation about mathematic to me”. Thus short story about how to difficult speak in english.
INTENSIF LANGUAGE VIA BLOG
Technology brings problems as well as benefit to humankind. A technology development that is changing our lives as much as automobiles is the personal computer.
To begin with communication by computer has caused some problems. Although we can easily send a message to hundreds of people in a instans, we can also receive hundreds of message, both wanted and unwanted in just a few minites. It took several hours to read all of them. Our expanded ability to communicate means that anyone with a computer can communicate anything to anyone on any subject at a time.
In addition to problems in communication, computer havealso caused problems in business. They have created excellent opportunities for computerized crime.
The various of aspect in life, language is very important for communication to be delivered human being. Like that in
How overcome the problem for individual :
1. Lowest level
v Material communication
Example: send message.
v Normative communication
2. highest level
v Formulize communication
example : write formally, talk formally
v Spiritual Communication
about implementation of religion, example : praying
We should active in communication to develop our skill and there are two kinds of unhealthy communication :
Ø Active vocal
Ø Uni vocal
Because it can destroy the meaning of language.
COMMUNICATION IS VERY IMPORTANT IN STUDY ENGLISH
Language is very important in our live, language also one of something equipment communication to human. Language in to learn mathematic also important for communication between lecture and student easy understanding and can to walk with fluent in learn mathematic is English language, we can communication in global world because learn English language. Learn English language in mathematic department no more then can speak In English but also learn mathematic in English and we can to practice in our live.
We learn English mathematic always to search for vocabulary for to reproduce vocabulary our have and our make communication with fluent.
We also learn from video you to be, about mathematic example: limits, quadratic equation, and sing a song mathematic. We also make a blog to communication with our lecturer, because blog very important for to know in world global.
We can send message to our friends or our lecturer, and we can send task to our lecturer with blog. Sometimes we bored learn English but lecturer make new method for learning. For example: lecturer tell about his visit in australia , jepang, belanda, etc. so we do motivation for can like our lecturer, goes to surroundings world.
There for we must learn English language with diligent in order that we can surroundings world like our lecturer learn English language have many profit to our self in short range and tong range.
Short range, we know vocabulary about mathematic to different with English language chemistry and we can make a blog and communication in learn mathematic because we finish fluent communication with English, but we must be more active for always communication in English in our live, in order to we can control English more good.
Learn…learn…and learn
Do not broken spirit in learn English language.
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