Bellringers

8/14-9/10 and 9/22- 12/16

Bellringer 8/14/14 1) Factor Completely: 3𝑝 2 − 75 2) Solve by factoring: 5𝑦 2 + 15𝑦 + 10 = 0

Bellringer 8/19/14

1.Factor: 15xy+12x-9y-6yz 2. Factor:

12𝑥 3 + 16𝑥 2 − 84𝑥 − 112

Bellringer 8/20/14

1.Factor: 3xy+6zy 2.Factor: 4ac-ad+24yc-6yd

Bellringer 8/21/14

1.Factor:

4𝑥 3 − 28𝑥 2 − 6𝑥 + 42

2.Factor:

24𝑏 3 − 9𝑏 2 − 48𝑏 + 18

• • What to Expect Friday Come in and turn in Bellringers to the current work folder.

• • • • Log in • • • username: student number initial password: P@ssword123 Reset password to: student number FIRST INITIAL last initial Take the SLO and sit patiently until everyone is done.

Bell ringer 8/22/14 • Set your Bell ringer on the desk below • Sit quietly so we can go to the Computer Lab

Bellringer 8/25/14

1. Name the Polynomial: 9v+12 2. Factor Completely:

5𝑥 2 70 − 35𝑥 +

Bellringer 8/26/14

• You have 5 minutes to study, this slide will change when time is up

TIME IS UP!

•

Please Clear Your Desk for the Quiz

Bellringer 8/27/14

1. Factor: 𝑏

2

− 20 = 𝑏 2. Solve by Factoring: 5𝑥

2

− 20 + 25 =

BellRinger 8/29/14

1.How do you think the day with the sub went?

2.Did you use your notes when you got stuck on your assignment?

3.Did you get off task often?

4.Did the sub show you the answer key?

5.Did you do everything I asked you to do while the sub was there?

6. What do you think the note from the sub said?

7.How do you think I felt when I saw the note from the sub and the work that you turned in?

Bellringer 9/2/14 1.Find the value for c that will complete the square: 3𝑚 2 − 12𝑚 + 𝑐 2.Solve by completing the square: 8𝑛 2 + 16𝑛 + 6 = 0

Bellringer 9/3/14 1.Solve by completing the square: 5𝑟

2

+ 10𝑟 − 53 = 0 2.Solve using the Quadratic Formula: 3𝑔

2

+ 10𝑔 + 7

Bellringer 9/4/14 1. Simplify: 5n(2n+5) 2. Simplify: (12x+5)+(12x-3)-(5+6x-3) 3. Turn in your homework if you haven’t!!

Bellringer 9/8/14

1. What is it when I join two sets together?

2. Where can I find the elements that two sets have in common?

3. Can I do numbers 1 and 2 with more than one set?

4. Draw a Venn Diagram with 3 intersecting Circles. Shade in the Intersection of the three circles, the area all 3 have in common 5. Now draw Diagonal lines through (A intersect B) Union C

Bellringer 9/8/14 1. Take out your homework 2. GO to the board and write down the problems or concepts you are struggling with the most 3. Prepare to review for your test tomorrow • Yes you have to write those 3 things in your bellringer

Bellringer 9/9/14

1.List the steps for completing the square 2.How do I find the roots of a Polynomial of the 4 th degree that has 4 terms?

• •

9/10/14

th Period • Turn in both Homework Assignments to the Current Work Folder for 3 rd Period!

Bellringer 9/23/14

1.Solve Using Long Division 5𝑛 3 − 𝑛 2 − 36𝑛 + 45 5𝑛 − 6

Bellringer 9/25/14

• Solve using Synthetic Division: • (𝑘 3 − 3𝑘 2 − 23𝑘 + 13) ÷ (𝑘 + 4) • Also, please turn in Homework

Bellringer 9/30/14 1. How often should we staple our papers together?

2. When should we turn in homework and where?

3. When and where should we turn in late work?

Bellringer 10/1/14 1. When is your Quiz?

2. When is it too late to ask for help?

3. Where will I post the Answers to the Homework?

Bellringer 10/13/14 1. Get out a graphing calculator 2. Graph y=3x-2 and 𝑦 = 2𝑥 2 − 𝑥 − 1 3. Sketch the graph marking the points of intersection if there are any

Bellringer 10/14/14 1. Get out a graphing calculator 2. Graph 𝑦 = −3𝑥 8 + 2𝑥 4 + 5𝑥 2 − 7 3. Sketch the graph and describe the end behavior in standard notation (ie. 𝑓 𝑥 → ±∞ 𝑎𝑠 𝑥 → ±∞ )

Bellringer 10/17/14 1. Get out a graphing calculator and your study sheet 2. Complete Number 11 if you haven’t 3. Write your answer on your bellringer sheet along with a sketch of the graph!

Bellringer 10/20/14 1. Get out a graphing calculator and your study sheet

Bellringer 10/21/14 1. Turn in your study guide 2. Get out a graphing calculator and a pencil 3. Clear your desk of everything else

Bellringer 10/23/14 Given: 𝑓 𝑥 = 𝑥 3 + 6𝑥 2 − 2𝑥 − 5 1. Find the x and y intercepts 2. How many turns will it have?

3. What will the end behavior look like

Bellringer 10/28/14 Solve using 2 different methods • 3𝑥 2 − 12𝑥 + 12 • 6𝑥 2 + 4𝑥 − 7 • EQ: What are the properties of rational functions?

Bellringer 10/29/14 • • Compare and Contrast Absolute and Relative Extrema.

Compare and Contrast Domain and Range.

• EQ: What are the properties of rational functions?

Bellringer 10/30/14 • • How do you find the x and y-intercepts algebraically?

Algebraically How can you determine End Behavior?

• EQ: What are the properties of rational functions?

Bellringer 10/31/14 • Given the graph, Find the Intervals of Increase and Decrease • EQ: What are the properties of rational functions?

Bellringer 11/3/14

Bellringer 11/6/14 • • How do you determine the domain of a Rational function algebraically?

What is the domain of #2 on your worksheet from yesterday?

Bellringer 11/7/14 • • How do you find the x-intercepts of a rational function algebraically?

Find the x-intercepts of the rational function: 𝑟 𝑥 = 𝑥 2 −3𝑥+54 2𝑥−3

Bellringer 11/10/14

1.Describe the end behavior of s(x) = − 5𝑥 3 + 42𝑥 2 + 12𝑥 − 50 2.Hand me your bellringer and clear your desks of everything when you are finished.

Bellringer 11/13/14

𝑥 2 r(x) = 𝑥 2 1.Find the Domain − 2𝑥 − 15 + 2𝑥 − 3 2.Find the x and y-intercepts

Bellringer 11/18/14

Take out your Homework We will be checking it No Bellringer!!!

Bellringer 11/19/14

𝑟 𝑥 = 𝑥 2 − 4 𝑥 + 2 Find the: 1. Domain 2. Vertical Asymptote 3. Point of Discontinuity

Bellringer 11/20/14

𝑟 𝑥 = 𝑥 2 − 4 𝑥 + 2 Look at the graph: 1. Does it have any asymptotes?

2. If so where?

3. How do you know?

Finding Horizontal Asymptotes - Shortcut

Bellringer 12/1/14

𝐻𝑜𝑤 𝑑𝑜 𝑦𝑜𝑢 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝐻𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝐴𝑠𝑦𝑚𝑝𝑡𝑜𝑡𝑒 𝑜𝑓 𝑎 𝑅𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝐹𝑢𝑛𝑐𝑡𝑖𝑜𝑛

Bellringer 12/2/14

Identify the following: a) Domain 𝑓 𝑥 = 𝑥 3 + 2𝑥 2 − 3𝑥 4𝑥 2 − 8𝑥 b) X and y-intercepts a) (-infinity, 0)u(0,2)u(2,infinity) b) X-intercept: x=-3, 1 y-intercept: y=0 c) VA: x=2 POD: x=0 d) Slant/ oblique c) Vertical Asymptotes and Points of Discontinuity d) Horizontal Asymptotes (use the chart from yesterday)

Bellringer 12/3/14

2𝑥 2 + 6𝑥 − 8 𝑓 𝑥 = 𝑥 2 − 2𝑥 − 3 a) (−∞, −1) ∪ (−1, 3) ∪ (3, ∞) b) x-intercept: x=-4, 1 y-intercept: y= POD: None d) HA at y=2 e) None f) Decrease: Increase: None 8 3 c) VA at x=-1 and x=3 (−∞, −1) ∪ (−1,3) ∪ (3, ∞) g) (−∞, ∞) Identify the following: a) Domain b) X and y-intercepts c) VAs and PODs d) Horizontal Asymptotes e) Extrema f) Interval of Increase/Decrease g) Range

Bellringer 12/4/14

𝑓 𝑥 = 4𝑥 2 + 2𝑥 − 8 2𝑥 − 4 Identify the following: a) Verical Asymptote b) POD c) Horizontal Asymptote a)None b)x=2 c) No Horizontal, but it does have an Oblique Asymptote Then graph it in your Calculator and sketch the graph

Bellringer 12/5/14

1. Take out your Characteristics of Rational Functions chart 2. Fill in what is missing on the one under the Document Camera 3. I will use a random number generator to call on you to fill the rest in 4. After we finish/review this chart, we will have the Quiz

Bellringer 12/8/14

1. Get out your review sheet that you should have completed.

2. After we review for tomorrow’s test, we will look at the Quizzes from Friday, granted we have enough time.

Bellringer 12/9/14

Using the graph on the board identify any • • • Asymptotes • PODs Intercepts Absolute / Relative (local) Extrema

Bellringer 12/10/14

Create a rational function with a POD at (-4,8) • Hint: start with writing a rational function with the POD at the specified x value

Bellringer 12/11/14

For the following rational function identify the PODs and Asymptotes 𝑟 𝑥 = 4𝑥(𝑥 + 6)(3𝑥 − 2) 𝑥(2𝑥 + 5)(𝑥 + 6)

Bellringer 12/16/14

No bellringers this week Prepare to review the test from yesterday