This is my blog site for our class, and I will be posting information on here that I'd like to communicate with the whole class. Check the site often and I encourage you to ask questions by leaving a comment.
Have a great Spirit Week :)
Ms. Liefland
Monday
Class: Transformations and Quiz Review
HW: Study for Quiz 2
See http://www.purplemath.com/modules/fcntrans.htm for summary of transformations. Also http://people.richland.edu/james/lecture/m116/functions/translations.html. Be comfortable with these "shifts" for Quiz 3.
We will be having our second quiz on Tuesday.
No calculators will be used on this quiz.
Topics for this quiz include solving absolute value problems (remember to test your solutions to make sure some solutions are not lying to you!!!), simplifying expressions with exponents, and algebraically finding the domain, and graphically finding the range.
UPDATE: Also rational/irrational number vocabulary will be on Quiz 2.
Notes on Domain and Range:
Domain: Algebraically - What values of x are "cool" with the rules of math? The two rules we look for are:
dividing by zero (this is undefined - a vertical asymptote) or,
taking the square root of a negative number (this gives an imaginary result)
What are the "allowed" values of x? What are we able to input?
Vertical asymptotes will interrupt the domain.
Graphically - Where does the function exist horizontally (described by x values)?
Range: Algebraically - What values of y can I get back, as an output?
(This is harder to solve for algebraically, so we can look at the graph.)
Graphically: Where does the function exist vertically? (described by y values)
Horizontal asymptotes will interrupt the range.
Asymptotes are lines that are often invisible in the graph - think of them as invisible walls that the function never crosses.
Tuesday
In class: Quiz 2 (see above for topics)
HW: Page 115, 25-29 ALL, and 51-59 ODD
IF YOU NEED HELP WITH COMPOSITE FUNCTIONS: Watch this video :)
Composition of Functions - YouTube (PatrickJMT)
Wednesday
HW: Page 122: 19, 21, 27-31all
Thursday
CW/HW: Page 129 - 16-23 all, 61-64 all
Friday
Classwork:
Next Quiz: Friday September 21 (Quiz 3)
Shifts & Transformations
Compositions of Functions
Inverse Functions
Piecewise Functions
Thoughts on irrational exponents?
http://mathforum.org/library/drmath/view/52857.html
Precise Algebra: https://dl.dropbox.com/u/40810525/twoisone.jpg
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