This quote has evolved over time into the quote you see above. The orginal Shakespeare Quote is:
"Though this be madness, yet there is method in 't."
--From Hamlet (II, ii, 206)
Friday, September 28, 2007
MCDL 1.7
Questions and Comments:
An Introduction to Functions
9 comments:
Anonymous
said...
M.G.
I need a little bit of help with input and output functions. When I look at a input and output table it is hard sometimes to find the equation. EXAMPLE:
I need a little help on input-output functions in a table. Sometimes it is hard to find the equations from a table. Example Input Output 0 14.7 20 23.6 40 32.5 60 41.4 Does any one know any tips?
i understand making input-output tables until it gets to the ones with all the decimals, variables, and differnt domains. page 50 problem 19-34 are all like this. i know how to do these but always get confused and mess them up. i dont really get the order of operations part of these questions either.
JJ to MG: The answer to the example you put is output= the past output+the input. INPUT OUTPUT 1 1 2 3 3 6 4 10 5 15 6 21 What I mean is toget the out put for the input of 3 you add 3 which is the previous output plus three which is the input.
I can't give many tips about finding the equation to other input out put functions except to look at it from all aspects. Try every operation and see what the answer is.
DGT I'm really just bad all around with functions. Could someone PLEASE explain the basic principles of they work and how to solve them? It would really help me out. :D
D.E. to M.G. Think of the input, output table as a graph, the input is x, and the output is y, so simple. I recommend this when you want to make an input, output table simpler.
I think the example is holding you up. They never asked you to write an equation for this particular table, let's take a look at the table MG posed:
INPUT OUTPUT 1 1 2 3 3 6 4 10 5 15 6 21
Let's talk about some of the vocabulary as that subject came up and then we will deal with the values in the table.
The "input" is the domain. In this case it is only the following numbers: {1,2,3,4,5,6} There are no elipses so there are only 6 numbers we have to worry about and there are only 6 numbers in our domain.
If we look at the "output" that is our range. In this case it is only 6 numbers as, again we have no elipses. So, the range is {1,3,6,10,15,21}
Now the example you used is not relationships we have really looked at (with respect to writing equations.) Here is one of the tables they gave for writing an equation.
t h 0 250 1 270 2 290 3 310 4 330 5 350
This is a linear equation. If you look, all the changes are at an increase of 20, except at zero. So, I know whatever I do I will have to add 250 (sound familiar???) So, if I looke at what is the same and what is different, each term contains that 250 and is increase from the previous term by 20. So each term can be multiplied by 20 and then add the 250. Wait is that in the form of y=mx+b, I think it is... y = 20x + 250. The most complex equation we have dealt with this year is linear. That should make you very happy!!!
9 comments:
M.G.
I need a little bit of help with input and output functions. When I look at a input and output table it is hard sometimes to find the equation. EXAMPLE:
INPUT OUTPUT
1 1
2 3
3 6
4 10
5 15
6 21
Does anyone have any tips?
D.M.
I need a little help on input-output functions in a table. Sometimes it is hard to find the equations from a table. Example
Input Output
0 14.7
20 23.6
40 32.5
60 41.4
Does any one know any tips?
d.c.
what i have trouble in this chapter is when it gaves you a equation and then you have to make a input output table or the other way around.
C.K.
i understand making input-output tables until it gets to the ones with all the decimals, variables, and differnt domains. page 50 problem 19-34 are all like this. i know how to do these but always get confused and mess them up. i dont really get the order of operations part of these questions either.
do you have any sugestions to help me?
JJ to MG:
The answer to the example you put is output= the past output+the input. INPUT OUTPUT
1 1
2 3
3 6
4 10
5 15
6 21
What I mean is toget the out put for the input of 3 you add 3 which is the previous output plus three which is the input.
I can't give many tips about finding the equation to other input out put functions except to look at it from all aspects. Try every operation and see what the answer is.
d.c.- example please?
DGT
I'm really just bad all around with functions. Could someone PLEASE explain the basic principles of they work and how to solve them? It would really help me out. :D
D.E. to M.G.
Think of the input, output table as a graph, the input is x, and the output is y, so simple. I recommend this when you want to make an input, output table simpler.
I think the example is holding you up. They never asked you to write an equation for this particular table, let's take a look at the table MG posed:
INPUT OUTPUT
1 1
2 3
3 6
4 10
5 15
6 21
Let's talk about some of the vocabulary as that subject came up and then we will deal with the values in the table.
The "input" is the domain. In this case it is only the following numbers: {1,2,3,4,5,6} There are no elipses so there are only 6 numbers we have to worry about and there are only 6 numbers in our domain.
If we look at the "output" that is our range. In this case it is only 6 numbers as, again we have no elipses. So, the range is {1,3,6,10,15,21}
Now the example you used is not relationships we have really looked at (with respect to writing equations.) Here is one of the tables they gave for writing an equation.
t h
0 250
1 270
2 290
3 310
4 330
5 350
This is a linear equation. If you look, all the changes are at an increase of 20, except at zero. So, I know whatever I do I will have to add 250 (sound familiar???) So, if I looke at what is the same and what is different, each term contains that 250 and is increase from the previous term by 20. So each term can be multiplied by 20 and then add the 250. Wait is that in the form of y=mx+b, I think it is...
y = 20x + 250. The most complex equation we have dealt with this year is linear. That should make you very happy!!!
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