Section 2.6 Class Notes Mathematical Models: Constructing Functions Guiding Problem 1 The price p, in dollars, and the quantity x sold of a certain product obey the demand equation 1 p = - x + 150, 0 x 500 . 4 (a) Find the revenue function. (b) What is th
Section 4.4 Class Notes Polynomial and Rational Inequalities Guiding Problem 1 Solve each polynomial inequality. 2 ( a ) ( x + 3) ( x - 4 ) > 0 ( b ) ( x + 1) ( x - 5) ( x + 3)
0
( c)
x 6 > 16 x 4
(d)
x3 + 2 x 2 - 8x 0
Guiding Problem 2 Solve each rationa
San Jos State University Mathematics Department Math 12, Number Systems, Sections 1 & 2, Fall 2007 Instructor: Office location: Telephone: Email: Office hours: Class days/time: School Holidays Classroom: Prerequisites: Dr. Trisha Bergthold MacQuarrie Hall
Prerequisite Mathematical Skills for Entering Precalculus Spring 2008 In order to successfully begin your Precalculus course, you must have a sound knowledge of certain mathematical skills and concepts. I have identified the items in the following list as
Section 4.5 Class Notes The Real Zeros of a Polynomial Function
Example 1: Find the real zeros of the polynomial function How many zeros could this polynomial have? Number of Real Zeros Theorem A polynomial function cannot have more real zeros than its de
Math 19 Grade Progress It is completely straightforward to keep track of your grade-to-date in this class. Every point is weighted exactly the same. All you need to do is add up the points you have earned so far, and divide by the total points it was poss
Homework Assignments in MyMathLab General Information
Before you start, you will need Course ID: Student Access Code: Valid Email address that you check regularly: System Requirements Operating Systems: Windows 2000, Windows XP, and Windows Vista TM (Macs
San Jos State University Mathematics Department Math 19, Precalculus, Sections 1 & 2, Spring 2008 Instructor: Office location: Telephone: Email: Office hours: Class days/time: School Holidays Classroom: Prerequisites: Dr. Trisha Bergthold MacQuarrie Hall
Math 19 Homework Assignments Unit 2: Functions and Their Graphs Each homework assignment below should be completed to the best of your ability by the due date. The given reading, notetaking, exercises, and problems for each homework assignment represent t
Section 2.1 Class Notes Guiding Problem #1 Information often comes in related pairs: name-birthdate, name-telephone number, food item-calorie count, calorie count-grams of fat, natural numbers-their opposites. Sometimes these relationships are unambiguous
Section 2.5 Class Notes Graphing Techniques: Transformations Guiding Problem 1 On the same set of axes, draw each of the following functions: f ( x ) = x 2 , g ( x ) = x 2 + 3, h( x ) = ( x - 3) , m( x) = 3 x 2 , n( x) = ( 3x )
2 2
Describe how each of th
Math 19 Precalculus Revised Course Schedule (Note: subject to change with fair notice.) Wk Date Work Due 1 2 W 1/23 F 1/25 M 1/28 W 1/30 3 F 2/1 M 2/4 W 2/6 4 F 2/8 M 2/11 W 2/13 5 F 2/15 M 2/18 W 2/20 6 F 2/22 M 2/25 W 2/27 7 F 2/29 M 3/1 W 3/5 8 F 3/7 M
Summary of Mathematical Processes (Learning Outcome 9) One of the ways in which college level mathematics courses differ from high school mathematics courses is in the expectation that students will grow and develop in their mathematical sophistication. I
Due Monday May 12, 2008 (will not be accepted late) Points Earned: _ out of 5 points
Math 19 Final Reflective Paper Turn in 2 copies of your paper. Attach this page to the first copy. No late submissions accepted Now that you are nearing completion of thi
Section 5.1 Class Notes
Composite Functions Guiding Question 1
2 For f ( x ) = 2 x + 3 and g ( x ) = x - 2 x , find:
( a) (
f o g ) ( 2)
( b) ( g o f ) ( 2)
( c) (
f o f ) ( -3 )
( d ) ( g o g ) ( -1)
Guiding Question 2 Find the domain of ( f o g ) ( x )
Math 19 Homework Assignments Unit 4: Polynomial and Rational Functions Each homework assignment below should be completed to the best of your ability by the due date. The given reading, notetaking, exercises, and problems for each homework assignment repr
Section 3.1 Class Notes Linear Functions and Their Properties Framing Thoughts for this Section We've already studied equations of lines and graphs of lines in chapter 1, so much of this material will seem familiar. The main difference is that we will re-
Section 4.1 Class Notes Polynomial Functions and Models Guiding Question 1 Determine which functions are polynomials and state the degree. If not, state why. 3+ x ( a ) f ( x ) = 5 x3 - 3x + 4 ( b ) f ( x ) = 3 x 2 ( c ) f ( x ) = ( d ) f ( x) = x - 3 x-3
Chapter 1 Review Class Notes
Formulas to Review Write the following formulas. (1) distance formula (2) midpoint formula (3) slope formula (4) general form for equation of a line (5) point-slope form for equation of a line (6) slope-intercept form for equa
Section 4.3 Class Notes The Graph of a Rational Function Guiding Question 1 Analyze the graph of f ( x ) = Domain Zeros Vertical Asymptotes Horizontal/Oblique Asymptotes Asymptotic Behavior Key Points 2x using the 7 step process below. x -9
2
Sketch
Guidi
Section 4.2 Class Notes Properties of Rational Functions Guiding Question 1 Find the domain of each rational function. 2- x 3x 2 x -1 ( a) f ( x) = ( b) f ( x) = 2 ( c) f ( x) = 2 x+2 x -9 x +1
( d ) f ( x) =
x x - 4x - 5
2
Guiding Question 2 Identify ver
SJSU Math 12 Sections 1 and 2 1Problem-of-the-Month (POM) Gallery Walks
Brief Summary: This assignment requires you to work in groups on three different sets of non-routine mathematics problems. On "gallery walk" days, your group will create and display a
Mini-Lecture 3.3
Quadratic Functions and Their Properties Framing Thoughts for this Section We've already drawn graphs of parabolas in chapter 2, but there we did it by plotting points. Here we re-examine parabolas (that represent functions) using the lan
Section 3.5 Class Notes Inequalities Involving Quadratic Functions Guiding Questions Solve the following inequalities. Each can be solved in two different ways. ( a ) x 2 - x - 12 0
( b ) - 2 x 2 > -11x + 15 ( c ) 3x 2 + 6 x > 45
Answers: 1. 3, 4] ( a ) [
Math 19 Homework Assignments Unit 5: Exponential and LogarithmicFunctions Each homework assignment below should be completed to the best of your ability by the due date. The given reading, notetaking, exercises, and problems for each homework assignment r
Sections 2.2 & 2.3 Class Notes Recall: A function from one set of numbers (say X, the domain) into another set of numbers (say Y, the range) is a relation that guarantees each number in X is related to one (and only one) number in Y Guiding Question 1 Det
Time Availability Calculation This exercise is strictly for your own information. It will not be turned in. The purpose is to help you realistically determine how many hours per week you have available to devote to your college coursework. For each catego
Section 2.4 Class Notes Library of Functions; Piecewise-defined Functions Guiding Problem 1 (1) On the same set of axes, draw each of the following functions. h( x ) = x - 2 g ( x) = x 2 f ( x) = x (2) What is the intersection point of f and g? (3) What i
Math 19 Homework Assignments Unit 3: Linear and Quadratic Functions Each homework assignment below should be completed to the best of your ability by the due date. The given reading, notetaking, exercises, and problems for each homework assignment represe