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Wednesday, December 14, 2005


Hello
I am the scribe again, Lucky me!
Today we start the class by doing some exercise on:

1. IDENTIFY EACH GRAPH:
As a FUNCTION or RELATION:
The answer was
Function: a, b, c, d
Relation: e, f
(a, b, c, d,)are Functions because each input number exactly one out put number.
(e, f) are Relation because it turn one input into one or more different outputs.

2. Which of the following are Functions? Why?
a. {(1,3),(-1,4),(1,0),(0,4)}
b. {(3,2),(0,4),(1,3),(4,3)}
Answer:
(a) is an Relation, because it have tow same input (output is the y)
(b) is an Function because, the input are different (input is the x)
( If the input (x-coordinate) repeats more than once then it may be a relation. Check to see if it has two different outputs, if it does then it's a relation, not a function.)

3. In which of the followings is:
i) x A Function of y
ii) y A Function of x

y=3x-2
y is Function of x
y=x^2-3x+2
y is Function of x
x=y^2-4y-3
x is Function of y
x^2+y^2=9
y is not Function of x
x is not Function of y(because it’s not written as Function)
Functioning its just word, and how the word have written

4. Look at the graph in #1 fore each one wrote the Domain and arange.
a. Domain (-∞,∞)
Range (-∞,∞)
d. Domain
Range [0,∞) {∞ This is called a Lemniscate}

Range: The range is the set of all possible output values (usually y), which result from using the function formula. Keep in mind that domain = INPUT and y = OUTPUT. So, we can say, in terms of the xy-plane that the point (x,y) = (domain, range). In other words, INPUT = domain, which is x and range = OUTPUT, which is y.

The home work is ex#48 omit #13, and the scribe for tomorrow is rus-L [*.*]

4 Comments:

At 12/14/2005 11:00 PM, Blogger Mr. Kuropatwa said...

WOW! This is an outstanding scribe post A.Z. You've really impressed me! I think you've also set a new standard for all the scribes that follow you. Way to go! Bravo!!

BTW, you wote:
( look at the input first, if the input repeat more than one that’s mean it’s Relation)

That's almost right. If the input (x-coordinate) repeats more than once then it may be a relation. Check to see if it has two different outputs, if it does then it's a relation, not a function.

I also noticed that your lemniscates (I love that you used that word in your scribe post!) didn't display properly. To display a lemniscate type this code:

&#8734;

and you'll see this symbol:



Type it exactly like you see it above.

Again, you did a REALLY great job!

 
At 12/14/2005 11:04 PM, Anonymous Anonymous said...

wow nice pictures and everything! great job :D

 
At 12/15/2005 7:11 PM, Blogger natasha said...

wow you did a great job

 
At 12/15/2005 9:43 PM, Anonymous AI "The Answer" said...

Good Job!

Rated: Two Thumbs Up!
(People's Magazine)

 

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