We started today reviewing Transformations, specifically # 6 on pg. 79. Be sure that you have a strong understanding of how functions move. If you were not in class get the notes/examples dealing with stretch and shrink. Remember to check out the link on the right if you are still having trouble with transformations.
We took a few notes on Composite Functions (basically operations for putting two functions together). Be sure that you simplify all of your composite functions!
Coming up:
- Homework: pg. 89 #'s 6-12 even, 17, 18, 31, 33
- Your next test is October 5th!
Posting for Points:
When is your next test?
Thursday, September 27, 2007
Wednesday, September 26, 2007
Translations
We went over translations during the entire class period today! Hopefully you are beginning to see how these functions move, but it can take some time before this material really clicks. Be sure to check out the websites on the right, especially "Visual Functions," if you are still having trouble with these problems. We will spend a few minutes tomorrow going over Transformations, but then we will be moving on to Composite Functions.
Composite functions are pretty easy because it is just performing basic operations on 2 functions instead of 1.
For example, (f+g)(x) = f(x) + g(x)....so if f(x) = x + 3 and g(x) = 2x + 2 then,
(f+g)(x) = (x +3) + (2x + 2).....or simplified.... (f+g)(x) = 3x + 5
We will go over this tomorrow but you should look through the examples on pages 84-85 before class. This is your only homework, other than the question below, but make sure you do it!
Have a great day!
Coming up:
- Homework: Read over pages 84-85 and review your homework from last night
- Your next test will be Friday, October 5th!
Posting for Points:
Using your book and/or the brief notes from above, what would (f - g)(x) equal ? (it follows the same pattern as above)
Composite functions are pretty easy because it is just performing basic operations on 2 functions instead of 1.
For example, (f+g)(x) = f(x) + g(x)....so if f(x) = x + 3 and g(x) = 2x + 2 then,
(f+g)(x) = (x +3) + (2x + 2).....or simplified.... (f+g)(x) = 3x + 5
We will go over this tomorrow but you should look through the examples on pages 84-85 before class. This is your only homework, other than the question below, but make sure you do it!
Have a great day!
Coming up:
- Homework: Read over pages 84-85 and review your homework from last night
- Your next test will be Friday, October 5th!
Posting for Points:
Using your book and/or the brief notes from above, what would (f - g)(x) equal ? (it follows the same pattern as above)
Tuesday, September 25, 2007
Transformations
A few key points from last night's homework:
a) be sure that you have corrected the Greatest Integer Function as always rounding DOWN!
b) review how to read function values as coordinates.
After reviewing the homework we created a key for Transformations (the way our standard graphs move). You should keep these notes with your Library of Functions.
For tonight be sure that you check out the website under math links labeled "Visual Functions." This website should help you visualize how translations occur. (Section 1.7)
Have a great day!
Coming up:
- Homework: pg. 79 #'s 1, 2, 4, 5, 9-12
- You will get your tests back tomorrow!
Posting for Points Question:
How will this function move from our standard graph of f(x)=x:
f(x)= x + 3
a) be sure that you have corrected the Greatest Integer Function as always rounding DOWN!
b) review how to read function values as coordinates.
After reviewing the homework we created a key for Transformations (the way our standard graphs move). You should keep these notes with your Library of Functions.
For tonight be sure that you check out the website under math links labeled "Visual Functions." This website should help you visualize how translations occur. (Section 1.7)
Have a great day!
Coming up:
- Homework: pg. 79 #'s 1, 2, 4, 5, 9-12
- You will get your tests back tomorrow!
Posting for Points Question:
How will this function move from our standard graph of f(x)=x:
f(x)= x + 3
Monday, September 24, 2007
Library of Functions
Today we created a library of 10 functions which you should keep in your notes. Be sure that you have all 10 because it will make transformations much easier if you know what the standard graph looks like. We also talked about reading function values as coordinates and creating the equation of the function using those values. (Section 1.6)
Have a great week!
Coming up:
- Homework: pg. 71 #s 2-24 even, 29, 31, 43, 44, 53-60
- You will get your tests back Tues. or Wed.
Posting for Points Question:
What is the name of this function: f(x) = c
Have a great week!
Coming up:
- Homework: pg. 71 #s 2-24 even, 29, 31, 43, 44, 53-60
- You will get your tests back Tues. or Wed.
Posting for Points Question:
What is the name of this function: f(x) = c
Friday, September 21, 2007
Second Test!
Today was your second test!! Everyone seemed to do well as I glanced through them. From now on you can come here to find out what we did in class, as well as what assignments you should be preparing for. I will also post notes and examples here occasionally so you should check this often.
Have a great weekend!
Coming up:
-We will begin looking at transformations of functions Monday (section 1.6)
-Your next test will be 2 weeks from today (Friday, October 5th)Posting for Points
Posting for Points Question:
From now on you will find a question here each day relating to new material learned in class. You will post a comment in response to the question and receive 1 point for a correct answer. It will be required that you answer at least 3 each week!
For this weekend just submit a comment and say HI!
Have a great weekend!
Coming up:
-We will begin looking at transformations of functions Monday (section 1.6)
-Your next test will be 2 weeks from today (Friday, October 5th)Posting for Points
Posting for Points Question:
From now on you will find a question here each day relating to new material learned in class. You will post a comment in response to the question and receive 1 point for a correct answer. It will be required that you answer at least 3 each week!
For this weekend just submit a comment and say HI!
Thursday, September 20, 2007
Welcome
Welcome to the Honors Math Analysis Blog.
The main purpose of this blog is to allow anyone that misses class to see what material we covered, as well as find some notes and diagrams used during that day's lesson.
There will also be questions posted each day. You MUST answer at least 3 questions each week as part of your weekly homework grade.
You should check this website often for updates and notes!
The main purpose of this blog is to allow anyone that misses class to see what material we covered, as well as find some notes and diagrams used during that day's lesson.
There will also be questions posted each day. You MUST answer at least 3 questions each week as part of your weekly homework grade.
You should check this website often for updates and notes!
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