If you feel like you need some additional simplifying rational expressions......this is your lucky day
simplifying rational expressions

Homework for Tuesday, January 28
complete following worksheet: chapter 8 review 8
CHAPTER 8 TEST, THURSDAY, JANUARY 30!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Homework for Monday, January 27
Chapter 8 review (book) problems 4, 6, 8, 9, 10, 11

Homework for Wednesday, January 22

• Read EXAMPLE B on page 448. Complete problems 10, 11, 12 on pages 450-451 (translation only)
• Complete problems 4, 5 on section 8.6 additional problems from previous post.

homework for Tuesday, January 21
section 8.6 additional problems  1, 2
textbook section 8.6, problems 11, 12, 13

chapter 8 review 5 - without rounding

chapter 8 review 4
chapter 8 review 6

homework for Thursday, January 16
chapter 8 review 5 Christmass problems 1, 2, 3, 4, 5, 9
page 481 problem 9

chapter 8 review 3.5

Homework for Tuesday, January 14

Section 8.6

• read introduction, make sure you understand the term asymptote and that rational equations have 2 asymptotes. 
• do investigation - skip step 5
• VERY IMPORTANT!!!!!!!!!! read and understand example A!!!! This is a percent problem with a twist, but think percent.
• homework problems: 2, 3, 4, 7

Friday, in class,
go over answers to homework problems
remainder of class is workshop time, make good use of it.

Homework for Monday, January 13
complete chapter 8 review worksheet 2  when working on this pay attention to the details. If you have difficulty with the concept of stretching functions, this sheet is designed to help. Think about it.

Also complete chapter 8 review worksheet 3 for some unknow reason the parent functions did not show up: the parent functions are    y=x^2    y=abs(x)     y=sqrt(x)

Worksheet 2 is designed to help you understand the concept, worksheet 3 is to help you practice what you learned.

chapter 8 review 1 Homework for Friday, January 10, complete all problems on chapter 8 review 1 worksheet

Stretching parent functions

1. Graph the function y=x^2
2. Graph the function y=(2)x^2
3. Graph the function y=(1/2)x^2
4. How does multiplying the function y=x^2 by 2 or 1/2 change the parent function?
5. Important!!! The function y=(2)x^2 should really be thought of as y/2=x^2. You need to think about this as doing something to y. So, when you graph y=(2)x^2 it may appear to be skinnier, do not think about it that way! Skinnier would be thinking about it in terms of x, rather think about it as being stretched, elongated in the y direction. Think about using the function y=(2)x^2, you enter an x-value, square it, then take the result (think of it now as a y-value) and multiply the answer by 2. You take the y-value and double it, so you are stretching the graph in the y direction.
6. Graph the function y=abs(x)
7. Predict what the function y=(3)asb(x) will look like, then graph it to verify.
8. Graph the function y=abs(x-2)
9. Predict what the function y=(0.8)asb(x-2) will look like, then graph it to verify.
10. Graph the function y=-abs(x+4)
11. Predict what the function y=(-1.4)asb(x+4) will look like, then graph it to verify.

• Read and understand EXAMPLE A on page 465. 
• Read and understand EXAMPLE B on page 466.
• Homework for Thursday, January 9: section 8.4 problems 7, 8, 9, 12 and problem 1 on page 479 

In class: Section 8.3

• Do investigation, steps 6 through 10
• Read and understand example B

Homework for Wednesday, January 8

• 1 - Remeber f(3) states that x=3, and the statement 5*f(4)  states calculate when x=4 then multiply resulting y by 5.
• 2 - Just write the equation represented by each graph
• 3 - Just write the equation represented by each graph. Each graph must include the component abs(x+3), you can include negatives or transformations in y but do not change the function to abs(x-3) Check answers by graphing
• 8
• 10
• 11 Just write the equation represented by the graphs i, ii, and iii

Homework for Tuesday, January 7

Note: I can't figure out how to make exponents in this environment so "y equals x squared" will be y=x^2
This chapter is involves "transformations of parent functions".
Parent functions are the basic functions: y=x^2   y=b^x   y=abs(x)  They are all based around the origin on the (x,y) coordinate plane.
Transformations at first will be moving the parent function right and left and/or up and down.

section 8.2

• Complete the investigation (this is a fun one) Set window to zoom; standard 
• Read the paragraph on page 446
• Read and understand EXAMPLE A on page 447
• Read and understand EXAMPLE B on page 448. Transforming exponential functions are much harder than absolute value and quadratic because they do not have a vertex. There is a trick I'll show you but in the meantime try to figure it out. Pay attention to the asymptote (the line a function approaches but never reaches).
• Homework - problems 1, 3 (write the actual equation, not just write the coordinates for the vertex, graph to verify), 5, 7