Tuesday, June 12

We solved rational and polynomial inequalities both graphically as well as algebraically.

No homework.

Monday june 11

How do you solve an equation if all you know is one imaginary solution?

 Homework 3.6 #23, 27, 29

Thursday, June 7

Good luck FOILing in order to make equations given a set of solutions

 Homework: 3.6    9, 11, 13

Wednesday June 6

We solved equations using the rational root theorem and synthetic division.

 Homework: 3.5 57, 59

Tuesday June 5

Rational root theorem

Homework: Find, from the list, all rational roots.

Monday, June 4

Factor Theorem...Remainder Theorem...Synthetic Division

Homework 3.5 11-19 odds

Friday, May 25

We reviewed randomly selected entry tasks from the last 10 weeks.

 No homework

Thursday, May 24

We worked on effective interest rate, exponential growth and decay.

Homework: Optional - take a couple of exercises from 4.8 if needed

Wednesday May 23

Short cuts for compound interest and how to calculate interest when it is compounded more frequently than yearly.

 Homework: 4.7 27-33 odds

Tuesday May 22

Interested in interest? Hee hee. Math and finance humored combined.

 No homework.

Monday, May 21

We solved exponential and logarithmic equations.

Homework: 4.6 7-47 odds.

Thursday May 17

Today we condensed logarithms. Instead of spreading them out to make each log statement simpler, we shortened it into a single log statement.

Homework: 4.5 57-69 odds

Wednesday, May 16

Ohh yeah, I didn't give you enough information for #23 and 27. You need the change of base form. Here it is.

Homework: 4.5 45-55 odds 

Tuesday, May 15

Today we applied the three properties of logarithms to expand logarithmic expressions.

 Homework: Write a complete proof of rules #13 or #2 with support language 
                    4.5 13-27 odd, 37-43 odd 

Monday, May 14

I introduced the 3 basic properties of logarithms and proved the first one.

Homework: Prove the second property to be true following the logic of the proof from class.

Friday, May 11

I told a long story in class. It made me cry. I am getting old and soft. Anyway, there are some word problems at the end of section 4.4 to do.

 Homework:   4.4   117, 119-126

Thursday May 10

We graphed logarithms and solved equations involving logarithms.

Homework: 4.4 87-109 odds

Wednesday May 9

Today, we translated between log and exponential form. In addition, we evaluated logarithmic statements.

Homework: 4.4 9-35 odds

Friday's entry task

Entry Task Friday May 4

exponential functions project

Exponential Project for Friday May 4

Thursday May 3

Entry Task for Thursday

Handout for Thursday May 3

Here is the handout for the clock work on Thursday.

How do you solve an exponential equation? You can make the bases equal, the powers equal, or bust out a logarithm. The first two are dealt with here.

Homework: 4.2 61-79 odds



 
wed may 2 -

Tuesday, May 1

Today, we wrote exponential functions based upon two points on the graph. This is similar to finding the A value for polynomial and rational functions.  
Homework: the word problem at the end dealing with abandoned buildings in Detroit and writing an equation containing ((1, 10) and (7, 53)

Graphing exponential functions. How much do you really need to know? How can exponential functions be used in word problem formats?

Interesting entry task dealing with inverses. Dude, seriously, you need to look at the practice midterm. Also, we graphed exponential functions.

Not much today. The start of exponential functions. Your second midterm is going to be late next week. Please check out the practice test on the PCC website.

Reality check for composition, inverses, and rational functions. What is your comfortable level?

We used composition in order to verify that two functions were in truth inverses of each other.

Homework:  4.2  67, 69, 73, 77, 89, 91

Friday April 20

How do you make an inverse function from a table?  graph?  When is an inverse a function?

Thursday April 19

How do you find the domain for a function created by composition?  In addition, how do you "decompose" a function into f(x) and g(x)?

Homework:  4.1  53-58, 61, 62, 65


thurs apr 19 -

Wednesday, April 18

Composition today.  We composed functions via a table of values, a graph of functions, and functions written in algebraic form.

Homework:  4.1  33-43 odds

Handout for Tuesday's homework

Write the rational function

handout for homework from Tuesday

Match the graph with the rational function

Tuesday April 17

Match the function with the graph based upon asymptotes and intercepts

Homework:  2 handouts which are uploaded on the main blog page

Monday April 16

Complete oblique asymptote discussion. 


No Homework
What???  Really, no homework

Friday April 13

Complete discussion of horizontal asymptotes.  Read about oblique asymptotes in 3.2 before attempting homework.

Homework:  3.2  25, 27, 29 do part e, 45-53 odd

Thursday April 12

What are the key characteristics of rational functions?  What information can you get from the function?  What information can you get from the graph?  How do you graph simple rational functions?


thurs apr 12 -

Wednesday April 11

How do you write a polynomial based upon x-intercepts?  What the heck is multiplicity?  Why do I care?

Homework:  3.1  41-55 odds

Tuesday, April 10

Polynomial functions:  degree, coefficients, and graphs

Homework:  3.1  15-39 odds

Friday, April 6

We moved functions with all transformations with emphasis on reflecting on x and y axis.  Chapter 1 test Monday.  Good luck.  Make sure you check the Math 111 PCC practice test.

Homework  1.5  39 - 61 every other odd, 69, 71

Wednesday, April 4

We graphed piece wise functions.  Look out for f(x) = int(x).  This one bugs me.

Homework 1.4  25-28, 30-34

Tuesday, April 3

Concave up vs. concave down....what is it and where do you find it?  In addition, here are the functions you need to be comfortable graphing.  Look out there are at least 9 of them.

Homework:  graph f(x) = 1/x by table of values


tues apr 3 -

Monday, April 2

When is a function increasing?  decreasing?  Where are the maximum?  minimums?

Homework:  1.3  21-39 odd, 53-59 odd

Wednesday, March 21

Is a function even or odd? Here is how you figure out from the graph or the function.

Homework is 1.3 41-51 odds

Monday, March 19

Today we became more fluent in "function-ese" and "graph-ese". It was all about getting information from a function and a graph.

Homework:  1.2  31, 35, 39, 43, 44

Friday, March 16

How do you determine if the equation given is a function?  What about the graph?  Is it a function?

The assignment was 1.2 9, 23 (check the full version) and 1.1 27-37

Solutions are also posted

Wednesday, March 14

Here are notes from today along with the assignment at the end.  We dealt with the definition of  a function along with domain issues and evaluating functions.  Make sure that you look at the digital version of 1. 1 on the blog!!



Homework is 1.1  15-25 odd, 39, 47-61 odd