Welcome to the new school year 2014 - 2015.  Students are strongly encouraged to read Classroom and Testing Rules to avoid any unnecessary misunderstanding. 
Favorite Quotes
1. If you can't explain it simply, it means you don't understand it well enough.
2. Difficulty creates an unseen opportunity.
3. When you feel like giving up, remember why you held on for so long in the first place.
4. It's never too late to try.
5. Language (English and Foreign) is the universal tool for communication, more important than any other core subjects.
Important: All chapter homework submit on the day when students take the 2nd test (using graphic calculator). Make sure students have the homework stapled, write name and period clearly, count the number of questions (not less than 10 questions) per section, and hand it to Mr. Michael before walking to the testing seat.
1. not stapled = 5 points
2. No name or period = 5 points
3. Send late
a. after taking the test = 5 points
b. the next day = 10 points each day

Students are asking what computer language should they learn.
 Languages TIOBE Rank JobsTractor Rank Vacancies at

The dates below are arranged and confirmed by all the students. Any student not taking the test on the testing date will receive a zero grade (no makeup test) with or without excuse.

Chapter 13 Test on May 22 (Friday)
Chapter 13: Use scientific calculator and statistical table provided. Used two periods.
You can start at 11 a.m. if you have no class on that period in Room 623.
39 questions = 34 multiple choices with mostly calculation + 5 free response with many parts.
Homework: Hand in on the Testing Day

Exam Chapter 14 on May 26 (Tuesday)
No calculator and no statistical table
30 Questions = 20 multiple choices and True/False + 10 fill in the blanks with mostly one word answer.

Pre Calculus Honor
Chapter 10 Test on May 18 (Monday)
12 Questions = no multiple choices. Steps and workings must be clearly shown. Just answer converge or diverge if correct will only receive 1 out of when there is no working.
Use scientific calculator. The test covers
1. Find power series
2. Determine whether the series converge or diverge. Must show workings or else if correct receive only one out of five point.
3. Find Taylor series
4. Use Taylor polynomial with specified degree n to estimate definite integral. Warning: by pressing the calculator without working to get correct answer will receive only one point.
5. For geometric series, if converge, find the sum.
6. Determine radius of convergence.
7. Determine interval of absolute convergence.
Chapter 10 homework sends on testing day.

Chapter 11 Exam on May 26 (Tuesday)
Use Scientific Calculator.
21 questions = 5 multiple choices (integral integration) + 16 short answers cover everything you learn. Statistical table will be provided. Write all answers in the answer sheet.
Send Chapter 11 Homework on Monday. Check and return back on same period so you can study for the exam.

Pre Calculus Normal
Chapter 11 Test on May 7 (Thursday)
Chapter 11: 19 questions and no multiple choice. Must show working clearly. Correct answer only without working receive 1 out of 5 point.
Part 1: Use non scientific calculator. 8 questions include drawing graphs on log, exponent, and ln. Place the graphic calculator on the floor. After completing the part 1 chapter test, submit the part 1 test paper and receive the Part 2 questions. 
Part 2: Use graphic calculator. 11 questions. Some questions have more than 1 part for one question. Each part = 5 points
Homework: Hand in on  the testing day.

Chapter 12 Test on May 19 (Tuesday)
16 questions = no multiple choice.
Use Scientific Calculator. Working must be clearly shown. Don't just mention converge, diverge, limit does not exist, or limit exist will only receive 1 out of 5 points if workings are not shown.
Test covers
1. Use Euler's formula to write in exponential form.
2. Find the sum of ...
3. Use comparison test to determine convergence or divergence.
4. Evaluate limit.
5. Prove mathematical induction.
6. Find specified term of a given binomial
7. Find first three iterates function
8. Use first five terms of trigonometric series to approximate trigonometric function.
9. Express series in sigma notation.
10. Use first five terms of exponential series  to approximate exponential function.
11. Determine series converge or diverge.
12. Arithmetic and Geometric sequence and series.
13. Geometric infinite series.
Send chapter 12 homework on testing day.

Exam Chapter 11 & 12 on May 26 (Tuesday)
Use scientific calculator
20 Questions = no multiple choice
Workings must be clearly shown. Correct answer without working will only receive 1 out of 5 points.
1. Graph exponential and logarithm
2. Solve equation with or without using logarithm/natural logarithm
3. Evaluate logarithm, natural logarithm, and exponents
4. Arithmetic and Geometric sequence and series
5. Iteration
6. Find limit
7. Ratio and comparison test
8. Compounded continuously
9. Mathematical Induction.
10. Summation
11. Infinite Series
12. Convergence and divergence

Pre Calculus Normal Chapter 10 Test
April 2, 2015 (Thursday)
15 Questions = 15 questions + 5 bonus points = no multiple choice
Study from Chapter 10.2 - 10.8
1. If one question asks for many parts like foci, vertices, asymptotes, graph, ... each part = 2 points, please make sure you don't miss this questions for it carries many points. In this test there are more than 4 questions ask for many parts.
2. If ask to identify conic section, just give the name of the equation. Don't simplify, solve or ...
3. Have a good scientific calculator that can give you short cut solving 3 simultaneous equations to save time.
Homework: Submit homework on testing day. 80 questions.

Pre Calculus Honor Chapter 9 Test
April 2, 2015 (Thursday)
Use scientific calculator
11 Questions + 2 Bonus
11 Questions = no multiple choice = 9.5 (3 Questions) + 9.4 (1 Questions with 20 parts and each part = 1 point) + the rest from 9.1 and 9.2
Homework: Submit on testing day = 40 questions

Statistics Chapter 12 Test
Use scientific calculator for 2 periods
March 23, 2015
15 Questions consist of
1. Multiple Choice
2. Fill in the blank: which test is suitable to use, degree of freedom, number of factors, and etc.
3. All steps needed to test and make conclusion of Scheffe, Tukey, one way ANOVA, and two ways or two factors ANOVA. Don't forget to draw ANOVA table
Note: Every question is different from each other. In simple word, there are 15 different types of questions. All questions come from the textbook you used. When I get the test questions from your textbook test bank, I was surprised that the test is based on what we have learned and many from outside material.

Homework for Chapter 12: Submit on Testing date March 23, 2015
1. 3 Questions on Scheffe
2. 3 Questions on Tukey
3. 3 Questions on fill in the asterisks
4. 1 Questions on 2 Ways ANOVA

Chapter 11 Test 
Use 2 periods 

March 12 (Thursday) using scientific calculator
Cannot bring 1/8 size paper from now onwards.
23 Questions  = 15 multiple choices + 8 short questions with parts for each question
Submit homework on testing day = 20 questions

Pre Calculus Honor
Chapter 8 Test 
March 11 (Wednesday) using non scientific calculator
12 Questions = all short answers need working.
Leave answer in pi, ln, e, or ... form.
(Hint: Solve equation, differentiate, integrate, find area, and find volume.
Submit homework on testing day = 30 questions

Pre Calculus Normal
Chapter 9 Test and Bonus
Chapter 9 Homework
March 5 (Thursday) using scientific calculator
17 Questions = 13 questions + 4 bonus
Submit homework on testing day = 80 questions

Pre Calculus Honor and Homework
Chapter 7.4 to 7.6  Test
February 27 (Friday) using scientific calculator
14 Questions = 11 multiple choices include one word problem + 3 short answers.
Practice using the MS Casio calculator to do linear regression for both Pre Calculus Honor and Statistics Test. This will save a lot of your time in the examination.
Know Double integral, Lagrange multiplier, volume, and average value.
Submit homework on testing day = 60 questions

Chapter 10 Test and Chapter 10 Homework
February 25 (Wednesday) using scientific calculator
31 Questions = 28 multiple choices + 3 short answers with parts.
Multiple Regression is not in the test.
Use only one period since there is no chapel on Wednesday February 25.
There are spaces to do calculation for multiple choices which require lots of calculation. If there is no space provided for multiple choice, it means the question is either theory (quite difficult and need to read a lot) or straight forward calculation.
Submit homework on testing day = 40 questions

Pre Calculus Honor
Chapter 7.1 to 7.3  Test
February 23 (Monday) using non scientific calculator with square root
15 Questions = 8 multiple choices + 5 short answers + 2 word problems.
Hint: Besides testing the skill of partial derivative, know how to find domain and extrema: minimum, maximum, saddle. 

Pre Calculus Normal
Chapter 8 Test and Chapter 8 Homework
February 17 (Tuesday) using scientific calculator
20 Questions = 11 multiple choices + 9 short answers
Bring protractor, ruler, pencil and eraser.
Submit homework on testing day = 80 questions

Statistics Chapter 9 Test and Homework
Tuesday, February 10, 2015
1. 25 questions = 14 multiple choices + 11 short answers with one question fills in the blank and the answer is a value.
Most short answer has 4 parts where each part = 5 points.
2. Use graphic calculator and statistical table is provided.
3. Use 1.5 period.

Pre Calculus Honor
Chapter 6.2 and 6.3 Test and Chapter 6 Homework
February 5, 2015 (Thursday) using scientific calculator
Note: The answer from definite integral using scientific calculator is different from approximation using Trapezoidal and Simpson, including improper integral.
13 questions = 6 multiple choices + 7 show workings
Submit homework Chapter 6 on  testing day = 30 questions
Bring a good non scientific calculator with square root.

Pre Calculus Normal
Chapter 7 Test and Chapter 7 Homework
January 27 (Tuesday) using non scientific calculator
17 questions but based on only 16 questions and one bonus.
17 questions = 9 multiple choices + 7 show workings
Submit homework on testing day = 70 questions

Pre Calculus Chapter 6.1 Quiz
Thursday, January 15, 2015
Bring along 1/8 size A4 paper, neither typewritten nor photocopy. Must be written by hand.
Use non scientific calculator.
11 Questions - Only 10 questions will be graded.
6 multiple choices + 5 short answers with working

Statistics Chapter 8 Test
Tuesday, January 13, 2015
1. 25 questions.
Each question has either one or many parts. Each part = 5 points.
2. Use scientific calculator and statistical table is provided.
3. Use 1.5 period.
Free Textbooks
This morning (Jan 12) in less than 3 minutes, all 6 books were grabbed by the students. The books are heavy to carry to room 653. I will give away during breakfast time in room 623 instead of room 653. They are free. First come first serve. Unwanted books will give away to the janitor to sell as recycling.

I have students keep asking when will the new SAT format change and what are the changes. Below is the answer.

Why are you changing the SAT?

Our members, including admission officers, school counselors, teachers, and students, have called on us to change the SAT and go beyond assessment to deliver opportunity.

Less than half of the students who take the SAT are college ready, and that statistic has remained constant over time. Even among those who are ready, the majority of low-income, high-achieving students do not apply to the colleges within their reach. Among students who are ready for Advanced Placement courses, African American, Latino, and Native American students are less likely to take AP math courses than their peers.

Our goal is to support college readiness and success for more students and to make sure that those who are prepared take full advantage of the opportunities they’ve earned through their hard work.

Because a test alone can’t change student outcomes, assessments such as the SAT must be integrated with rigorous classroom instruction, and through their results, propel students to greater opportunities. The redesigned SAT will reward productive use of classroom time and a focus on rigorous course work.

How will redesigning the SAT benefit students?

The redesigned SAT will ask students to apply a deep understanding of the few skills and content areas most important for college and career readiness. The questions will be more familiar to students because they’ll be modeled on the work of the best classroom teachers. And the College Board will be open and clear, taking the mystery out of the exam and providing a full SAT blueprint before the first administration in spring 2016. Free test preparation is also on the way.

How is the SAT changing?

The redesigned SAT will be more focused on the few things shown by current research to matter most in college and career. When students open their test books in spring 2016, they’ll find questions asking them to support their answers with evidence, vocabulary they’ll use long after they’ve taken the exam, an essay prompt asking them to analyze a writer’s argument, and multistep problems requiring them to apply math in real-world contexts.

What will be tested on the redesigned SAT?

The redesigned SAT will require students to:

  • Analyze and use reasoning to comprehend challenging literary and informational texts, including texts in science, history, and social studies.
  • Revise and edit extended texts across a variety of academic and career-related content areas to improve the way ideas are developed, organized, and expressed using Standard Written English conventions.
  • Show command of a focused but powerful set of skills and understandings in math and use them to solve problems in science, social studies, and career-related contexts.
  • Make careful and considered use of evidence as they read and write.
  • Analyze data, including data represented graphically, in reading, writing, and math contexts.
  • Demonstrate an understanding of vocabulary in context and how word choice affects meaning and tone.

When will the redesigned SAT be given for the first time?

The first administration of the redesigned SAT will be in spring 2016.

How long will the redesigned SAT be?

The redesigned SAT will be 3 hours long with an additional 50 minutes given for the Essay. Please note: Precise timing is tentative and subject to research.

Statistics Exam
Chapter 6, 7, and 8 (More questions come from Chapter 8)
It can be very confused if all 3 chapters are randomly scrambled. Students need to put extra effort making sure they know how to use the right formula.
60 Questions = all multiple choices
There will be space for you to calculate. No extra paper will be given. Use pencil and eraser.
Bring in 1/2 A4 size paper in the testing room.
Use Scientific Calculator. Know how to use the scientific calculator to your advantage.
For Chapter 8, only one or two of the 4 steps process is tested in this exam. There will be another chapter 8 test during the 3rd quarter where students will be tested either all the four or five step process with no multiple choice. Keep your chapter 8 homework and submit them during the 3rd quarter chapter 8 test. 

Pre Calculus Honor Exam
Chapter 4 and 5 - Use non scientific calculator. Any student caught having a scientific or graphic calculator beside you (either in the pocket or anywhere else) will receive a zero grade for the exam.
20 Questions = 12 multiple choices + 8 short answer. No extra paper is given. Use the space given to show the working and write the answer. Use pencil and eraser. What is not covered in the chapter test is covered in the exam.

Pre Calculus Normal Exam
Chapter 5 and 6
Use non scientific calculator with square root. Any student caught having a scientific or graphic calculator beside you (either in the pocket or anywhere else) will receive a zero grade for the exam.
31 questions but will take only 30 questions with 1 bonus = all multiple choices
Study smart and ask yourself, "Which questions will be in the exam using non scientific calculator?"
A lot of questions from Chapter 6. Use the space given to show working and write the answer. No extra paper is provided. Use pencil and eraser.
The value of pi = 3.141592654 will be given in the test.

Pre Calculus Normal Chapter 6 Test
December 4, 2014 (Thursday)
Use graphic calculator
18 Questions = no multiple choice.
Some question has more than one part; each part = 5 points.
When graphing, make sure students graph only one period starting from zero of the x-axis. don't forget to name all the coordinates for the x and y axis.
Note: From statistics of the past years, students did not do well in this test. One reason is lack of practice, and second reason is panic and rushing for time during testing. They think they know all the concepts but did not do the homework honestly and diligently.

Pre Calculus Honor Chapter 5 Test
December 4, 2014 (Thursday)
Use Graphic calculator
18 questions = 6 multiple choices + 12 short answers
Definite integral questions are not found in this test.
Directly inputting definite integral application questions to the calculator are not found in this test; However, some questions are quite easy that need indirect way (some thinking and some calculation first) follow by inputting the definite integral applications to the calculator are in this test. Learn smart on what will be in the test and what will not be in the test. To do well in this test, you are must do every question of chapter 5.1 and 5.2 and take the most 1 minute per question of these 2 lessons. Most of the questions are from these two lessons.

Statistics Chapter 7 Test
December 1, 2014 (Monday)
Use scientific calculator and statistical table.
Spaces are provided for you to show working, including multiple choices and True/False.
50 questions = Theory, True/False, Fill in the blank, Multiple Choice
Note: Use pencil and eraser as space is just enough for you to do the calculation. No extra paper is allowed.
Period 6 and Period 8 takes 2 periods.

Statistics Chapter 7 Test
December 2, 2014 (Tuesday)
Use graphic calculator and statistical table. With the graphic calculator, no space is provided for you to show working. Make use of the graphic calculator to find the correct choice.
60 questions = Multiple Choice
Note: Use pencil and eraser as space is just enough for you to do the calculation. No extra paper is allowed.
Period 6 and Period 8 takes 2 periods.

Pre Calculus Normal Chapter 5 Test
November 13, 2014 (Thursday)
Use non scientific calculator
15 questions = 7 or 8 multiple choices + 8 or 7 short answers
Chapter 5.1 to 5.3 + chapter 5.5 (only inverse trigonometric function and solve each equation)

Pre Calculus Normal Chapter 5 Test
November 14, 2014 (Friday)
Use graphic calculator
Chapter 5.4 to 5.8
12 Questions = 4 multiple choices + 8 short answers

Pre Calculus Honor Chapter 4 Test
November 11, 2014 (Tuesday)
Use non scientific calculator
20 Questions = 10 multiple choices + 10 short answers
Leave answer in radical, ln, or e form. Do not calculate the answer into decimal unless stated. You must have calculator with square root.
What you need to know:
a. Know all the 10 golden rules in logarithm, natural logarithm, and e
b. Power like 1024 = 2^10
c. Differentiate ln and e
d. Find tangent equation involving ln and e
e. Use logarithm to differentiate functions that are long and complicated.
f. Find maximum, minimum. and inflection point and value.
First period stops at 8:10 a.m.
Third period begins at 8;10 a.m.

Pre Calculus Honor Chapter 4 Test
November 12, 2014 (Wednesday)
Use graphic calculator
15 questions = all word problem applications = 9 multiple choices + 6 short answers
If there is no chapel
First period stops at 8:10 a.m.
Third period begins at 8;10 a.m.
If there is chapel, I will let you know the time. Constantly check the website for any change of time.

Statistics Chapter 6 Test
November 13, 2014 (Thursday)
Use non cumulative normal distribution table and scientific calculator
39 questions = True/false + Multiple Choice + Fill in the blank of concept + Short answer in calculation.
Use 1.5 periods only
6th period stops at 12:10 p.m.
8th period starts at 12:15 p.m.

Statistics Chapter 6 Test
November 14, 2014 (Friday)
Use cumulative normal distribution table, statistical table, and graphic calculator.
50 questions = all multiple choices
Use 1.5 periods only
6th period stops at 12:10 p.m.
8th period starts at 12:15 p.m.

Pre Calculus Honor Chapter 3 Test
Use Non Scientific Calculator
October 29, 2014, Wednesday
Period 1 starts at 7:15 and stop at 8:15 a.m.
Preiod 3 starts at 8:15 and stop at 9:15 a.m.
12 Questions: 5 multiple choices + 7 short answers
Find all critical points and use second derivative test to classify maximum and minimum.
Find intervals of increase and decrease
Find absolute maximum and minimum on a given interval
Use second derivative test to tell the number of relative maximum and minimum, and inflection point.
Given a graph, find the intervals where the derivative is positive or negative
Find the interval where the function is concave up or down

Pre Calculus Honor Chapter 3 Test and Chapter 3 homework
Period 1 starts at 7:15 and stop at 8:15 a.m.
Preiod 3 starts at 8:15 and stop at 9:15 a.m.
Use Graphic Calculator
October 30, 2014, Thursday
18 Questions = 14 multiple choices + 4 short answers.
All questions are application word problems.
Chapter 3 homework due.

Pre Calculus Normal Chapter 4 Test
Use Non Scientific Calculator
October 29, 2014, Wednesday
17 Questions = 13 multiple choices + 4 short answers

Pre Calculus Normal Chapter 4 Test and Chapter 4 homework
Use Graphic Calculator
October 30, 2014, Thursday
16 Questions = 3 multiple choices + 13 short answers
Chapter 4 homework due

Statistics Chapter 5 Test Using Scientific Calculator and Statistical Table.
48 questions with Fill in the blank, True/False, Multiple Choice, Draw graph, Draw probability distribution.
October 21 Tuesday
Take either 1.5 or 2 periods; bring pencil and eraser for drawing.
Each part = 5 points; some questions have more than one part.
Make sure all workings must round off to 4 decimal places. As for the answer also gives 4 decimal places unless stated otherwise.

Statistics Chapter 5 Test Using Graphic Calculator and Statistical Table
October 22, 2014 Wednesday
60 questions = all multiple choices; 5 points for each question
No True/False
No Theory
All calculations. Use graphic calculator and Statistical table to your benefit.

Exam Week: The dates below are chosen by the students and no want should be excused from taking the test during the dates assigned. There will be no retest, take a test on another day, or any other reason if a student miss the test on the date shown below.

Monday, October 6, 2014 : Pre Calculus Normal
Use Scientific Calculator
Chapter 3 only, all multiple choices
30 multiple choices = 25 + 5 bonus (can carry forward/backward to any test taken)
Every part of the lessons are in this test:
Symmetry ; Even and odd functions; Transformation; Graph Inequality =5 Questions; Inverse Function, Continue and Discontinue; Behavior of Function = 5 Questions; Increase and Decrease Interval = 4 Questions; Graph rational function using asymptotes; Variation = 3 Questions

Tuesday, October 7, 2014: Statistics
Chapter 4: All multiple choices including theory and calculation
87 Questions = 80 + 7 bonus (can carry forward/backward to any test taken)
Use Scientific Calculator only; can bring in 1/8 size paper
Use 2 periods: Period 6 starts at 11:00 a.m. and ends 12:35 p.m.
Period 8 starts at 11:50 p.m. and ends 1:25 p.m.
No True or False; Mostly calculation where every part of the lesson is tested.
3 Q on Empirical, Subjective, Sample Space and Classical
For calculation, don't forget these words: mutually inclusive, mutually exclusive, and, or, complement, conditional probability, contingency table (category), permutation, combination, repetition, no repetition, independent, dependent,...

Wednesday, October 8, 2014: Pre Calculus Honor
Chapter 1 to Chapter 3.3, all multiple choices
Use Scientific Calculator
30 multiple choices = 25 + 5 bonus (can carry forward/backward to any test taken)
Every part of the lessons are in this test:
Find slope (algebra and calculus way)
Linear Function
Tangent and Normal Equation
Limit (one side, two sides, infinitive)
Continuous and Discontinuous
Velocity, Acceleration
Rate of Change, Relative Rate of change, Instantaneous Rate of Change
Differentiation (use any method)
Use 2nd derivative to test for extrema
Many questions come from:
Interval: increase and decrease, concave up, concave down
Point: Critical, relative maximum, relative minimum, extrema, point of inflection,
Asymptotes: Vertical, Horizontal

Pre Calculus Honor Homework: Chapter 3 

All Chapter 3 homework will submit next quarter. First quarter will count until chapter 2.

Pre Calculus Normal Homework: Chapter 3

Homework: Submit Monday (October 6, 2014)

Submit homework Chapter 3.1 to 3.8 on Monday, October 6, 2014

Statistics Homework: Chapter 3

Homework: Submit Monday (October 6, 2014)

Submit Chapter 4 on Monday, October 6, 2014

Statistics Chapter 3 Test

Monday, September 22, 2014

Use scientific calculator

50 questions = all multiple choices

Take 1.5 period (starts a 12:15 p.m.); can bring in 1/8 size A4 paper

Statistics Chapter Test

Wednesday, September 24, 2014 (No Chapel)

Take 1.5 period (starts at 12;15 p.m.)

Use graphic calculator

24 Questions: True/False, Multiple Choice, and Short answer.

Short answer with single data and group data: find location, location value, variance, percentile, decile, quartile, standard deviation, mean, mode, median, and etc.

Every question is 5 points unless stated.

Pre Calculus Honor Chapter 2 Test

Thursday, September 25, 2014

Use non scientific calculator. Make sure the calculator has square root.

20 Questions = 9 multiple choices + 11 short answers with workings

First period stops at 8:15 a.m. and Third period begins at 8:15 a.m.

Pre Calculus Honor Chapter 2 Test

Friday, September 26, 2014

Use graphic calculator

16 Questions = 5 multiple choices + 10 short answers with workings

Many word problem applications.

Pre Calculus Normal: Chapter 2 Test (Non Scientific Calculator)

Monday, September 22, 2014

Use Non Scientific Calculator: Chapter 2.1 to 2.5 only

12 Questions = 11 (applications) + 1 (multiple choice)

Every question is 5 points each except

1) 4 x 4 determinant = 10 points

2) 3x3 inverse = 10 points

Make sure students memorize the matrix for reflection, rotation, ... where there will be many drawings on pre-image and image. Bring along ruler, pencil, and eraser for these drawings. Learn how to solve a 3 variables simultaneous equations without making mistake.

Pre Calculus Normal: Chapter 2 Test

We cannot have test on Thursday because Seniors are away for Thai Culture Field Trip. At the same time, there is no chapel on Wednesday.

Wednesday, September 24, 2014

Use Graphic Calculator

12 questions = 8 multiple choices + 4 applications.

Make sure students know how to use graphic calculator to find determinant that is more than 4x4 and inverse that is more than 3x3.

For Linear Programming questions (20 points for each question), please show the steps

1. Create system of inequalities including the function

2. Draw the inequalities

3. Find the corner points

4. Use the function and corner points to get the maximum or minimum result.

If the question is a multiple choice, you do not have to show the 4 steps. Just answer with the correct choice. This question is only 5 points.



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