Monday HW!

Tonight, please complete the following in your textbook (or, I provided a copy of the textbook page today in class):

Page A61 (in appendix A at the back of the book): 83, 85, 89, 93, 95, 111, 115

• If you did the extra credit assignment this weekend, you already did some of these! Nice work--you'll have less homework tonight!
• For 83, factor our the greatest common factor of each term! Then, solve for x!
• For 85, factor ("diamond method" style) then solve for x!
• For 89, move all terms to one side (subtract 12 on both sides to start), then factor and solve for x!
• For 93 and 95 you will not need to factor to solve for x, you will need to "take a square root" on both sides (at some point)!
• For 111 and 115, you will need to use the quadratic formula to solve!
• Remember, a = the # before x-squared term; b = the # before the x term; c = the constant, or the number without a variable!
• Substitute the values of a,b,c into the quadratic equation below and simplify!
  

Tomorrow (in class) we'll get deeper into our notes on quadratics! See you there!

The WkND

Happy Friday!

Hope you aced your test today! I'll have those graded pretty soon....at the latest, you'll get them back on Thursday (after SAT day)--it all depends on when people make them up!

As for this weekend, no homework!

We'll be starting some new stuff on Monday--quadratics! You (hopefully) remember lots of this from your past math classes!

Want some extra credit? Use the internet, Google, your memory, your textbook (section 2.1), and/or some old notes to answer each of the following on separate paper:

Page 95:

• 1-8: Match each graph to the correct equation
• 19, 21: Find the x-intercepts and the vertex of the parabola (by hand or using a graphing calculator)
• 65: Use your graphing calculator to find the minimum cost!

Page A61 (appendix in the back of the book)

• 83 (solve by factoring)
• 85 (solve by factoring)
• 89 (move all terms to one side, solve by factoring)
• 93 (solve by taking square roots...)
• 95 (solve by taking square roots...)

If you do this extra credit, not only will you boost your grade, but you'll have a head start in understanding the math we're covering next week! Get on it!

Oh....and I might even make some or all of these Monday night's homework anyway...

Test Tomorrow!

You have two responsibilities for tonight...

1.) Complete the 12 multiple choice take home quiz (from last Friday)! (look @ Friday's blog post for hints and if you lost yours!)

2.) STUDY!

Here's a breakdown of what's on your test and where to look to study:

• You test starts with 9 multiple choice questions: study the pre-test questions we worked on today in class! (remember, skip #8)
• Then, comes the open ended:
• Find (f+g)(x)
• Find (f-g)(2)
• Find (fg)(4)
• Find (f/g)(x) (For this question you will have to factor a difference of 2 squares and simplify!)
• Find the inverse of a function (with a square root)
• Find the inverse of a function (a fraction)
• Find the inverse of a function (given coordinate pairs)
• Find the inverse of a function (linear equation)
• Find (fog)(x)
• Find (gof)(x)
• Determine if functions are inverses based on the compositions
• Evaluate a composition: (gof)(9)
• Evaulate (PEMDAS) question with -(x^2) vs. (-x)^2
• Given a graph, find the domain and range of the inverse function (remember, the domain of f(x) is the range of the inverse, and the range of f(x) becomes the domain of the inverse)

Here's where you should look to study:

1. Look over your 12 multiple choice question take home quiz! Double check these answers!
2. Look at the multiple choice packet from today in class (skip #8)
3. Look at all problems from Tuesday's sub work (I gave you an answer key yesterday in class)
4. Look at yesterday's notes/slides about inverses!
5. Look at the examples in sections 1.5 and 1.6 of your book!

See you all tomorrow!

Thursday HW!

Tonight, please complete the following problems on the "Inverses" worksheet provided in class:

2, 5, 6, 7, 8, 9, 11, 13

These problems will give you some essential practice before our test on Friday!

Tomorrow night, of course, you will be asked to study for your test. You will also have to revise/check your answers to the 12 multiple choice questions (take home quiz Friday) we had! These will be collected Friday! Get a head start now!

Tomorrow in class we'll answer any questions and do some review! See you there!

Here are the homework questions in case you lost yours or were absent:

Weekend HW = Take Home Quiz!

This weekend please complete the take home quiz (12 multiple choice) provided in class (or below).

Most of these concepts have been covered in class, but some have not--you know this stuff! If you get stuck, use the examples in section 1.6 of your textbook (or do some Googling) for help!

Take Home Quiz: Where to Look for Help:

1. Take a look at our classwork with the initials! Or, look at the tables on page 63.
2. Here, you have to verify if the functions are inverses using compositions; check examples 3 and 4 on page 64! 
• If not, you have to find the inverse: look at examples 7,8, and 9 on page 67-68!
3. Remember, inverse functions should be symmetric around y=x; or, if the point (-3,0) is on one graph, the point (0,-3) should be on the inverse!
4. See #3
5. To have an inverse, a function must pass the horizontal line test (remember?); check out the "graphical solution" on the bottom of page 66
6. See #5
7. To find an inverse, we have to switch x and y, then solve for y! (Check out examples 7,8, and 9 on page 67-68!)
8. See #5
9. See #7
10. See#7
11. See #7
12. (This is the toughest problem--for now, it's a bonus; we'll go over this on Monday)

Lastly, here are the questions in case you lost your paper!

Thursday HW!

Tonight, please complete the following in your textbook:

Page 69: 9, 11, 13, 21-24, 27

• For 9,11,13,27 you are expected to use compositions to show that the functions are invereses!
• For 21-24, match the graph of the function to its inverse

Tomorrow I will either check this homework or I will give you a short pop quiz using 1-3 homework questions...I haven't decided yet! So do it!

Tomorrow in class we'll wrap up our discussion of inverses and do some practice! See you there!

Wednesday

Welcome back! Be ready for lots of full 5 day weeks and lots of hard work!

Tomorrow we'll get into some formal notes on inverse functions...

No homework tonight! Enjoy your night off!

See you tomorrow!

Feb. Break = Take Home Quiz!

Enjoy your February vacation!

This weekend, be sure to complete your take home quiz, due Wednesday! 

The take home quiz questions are below; you should complete these (on separate paper) for Wednesday if you lost your copy or were absent!

Also, remember that if you missed class today you need to turn in the 12 multiple choice questions (classwork) when you come back from break!

When we come back we'll move on to our new stuff....inverse functions (section 1.6). See you then!

Tonight, please complete the following in your textbook:

Page 59: 35, 37, 39, 41, 45, 47

• **For 39, 41, 45, 47 find (f o g)(x) and (g o f)(x)

Tomorrow in class we'll due some classwork, then we'll enjoy a take home quiz over break! (Don't worry, it'll be a short one). See you there!

Tuesday HW

Tonight, please complete the following in your textbook:

Page 58: 5, 9, 13, 15, 17, 19, 21

Tomorrow in class we'll talk more about compositions of functions, and then it's quiz time on Thursday! See you there!

Thursday!

How did you feel about the test today? Did you prepare yourself to earn an A?

No homework tonight! Enjoy your Thursday!

Tomorrow we'll start some new stuff--combining functions! See you there!

TEST TOMORROW!

Tonight, study, study, study!

Also, remember that if you complete the "Analyze the Graph" sheet provided in class today you can boost your quiz grade (also "Analyze the Graph.")! This will ONLY be accepted tomorrow!

Here's a breakdown of what's on your test:

• Write the equation of a line passing through two points in all 3 forms (1.1)
• Write the equation of a line parallel to a given line and through a given point (1.1)
• Write the equation of a line perpendicular to a given line and through a given point (1.1)
• Determine if a table/mapping/graph is or is not a function (1.2)
• Evaluate a function (or piecewise function) for a given value of x (1.2)
• Define domain and range (1.2/1.3)
• Define intervals where a function is increasing, decreasing, constant (1.3)
• Identify a type of function by the shape of it's graph ("parent functions") (1.4)
• Describe any shifts/reflections in a function given its equation (1.4)
• Write the equation of a function given some shifts/reflections (1.4)
• Graph a function given its equation (based on shifts/reflections) (1.4)
• Evaluate a function (find y, given x) using a graph ("Analyze the Graph")
• Identify x and y intercepts given a graph ("Analyze the Graph")
• Find all values of x, given f(x) = # ("Analyze the Graph")
• Evaluate, for example, f(a + 2) given a function (1.2)
• Graph a line in point slope and/or slope-intercept form (1.1)
• Find any/all relative maxima/minima using a graphing calculator (1.3)
• Find the domain of a rational (fraction) function (remember, denominator can't equal 0)
• Find the domain of a radical (square root) function (remember, "what's under the radical must be greater than or equal to 0")

How to study:

• Look over your 1.1 quiz, your 1.2 classwork, and your 1.2/1.3 take home quiz!
• Look at any comments/feedback--don't make the same mistake twice!
• Complete the review packet from today's class AND CHECK YOUR ANSWERS (key below)
• Complete the "Analyze the Graph" sheet tonight! (look at your quiz for comments/feedback so you don't make the same mistake twice!)
• Look at the examples in your textbook within each section (1.1 to 1.4)
• Look over your notes!
• Use any videos online (try some links on the right of the blog) to review topics you are less confident about!

And here is the answer key to today's review:

• Multiple Choice:
• 1.)A
• 2.)C
• 3.)B
• 4.)C
• 5.)A

Tuesday...

Great job today with the algebra aerobics! I hope you had a fun math class!

Our test on sections 1.1 to 1.4 has been moved to Thursday!

Tomorrow in class we will continue with some more review (linear functions (1.1) and graphing/writing equations (1.4))!

Tonight, get a head start studying for your test! Look through your notes and/or the examples in sections 1.1 through 1.4 of your book! Or go to the math lab for some extra help! 

If you have some time, here are two interesting things I recently read online...

• Niche.Com: Top Colleges (Rankings) 

• Read This! Especially if you're thinking about a major in Statistics! It's about the role of Stats (in college)... 

If you were absent yesterday/today, here are the notes you missed about shifting and reflecting functions!

Monday HW!

Tonight, please complete the graphing/writing equations worksheet provided in class!

We have a test on sections 1.1 to 1.4 on Wednesday! Tonight's homework provides some very important practice before you see these types of questions on your test--so be sure to put your best effort into your homework tonight to prepare yourself for the test!