$100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500
|
|
- Annabelle Meagan Hubbard
- 6 years ago
- Views:
Transcription
1 Tests for Symmetry Families of Functions Parts of a Function Steps, Pieces & Rates Inverses and f(g(x)) Models of Variation Round 2 $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 Final Jeopardy $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500
2 $100 Does the function have x-axis symmetry? y 6 x 3
3 $100 No
4 $200 Does the function have y-axis symmetry? y 6 x 3
5 $200 No
6 $300 Does the function have y = x symmetry? y 6 x 3
7 $300 no
8 $400 Does the function have y = -x symmetry? y 6 x 3
9 $400 No
10 $500 Does the function have origin symmetry? y 6 x 3
11 $500 No
12 $100 The parent function of the equation below is? y 5 x 9
13 $100 The Square Root Function y x
14 $200 The function below has been transformed from the parent function by y x 2 9
15 $200 Moving down 9
16 $300 The function below has been transformed from the parent function by y x 7
17 $300 Right 7
18 $400 The function below has been transformed from the parent function by y x 2 1 3
19 $400 Flip over x-axis, left 1 and down 3
20 $500 The function below has been transformed from the parent function by y 1 x 4 6 2
21 $500 Flip over x and y-axis, made wider, right 4 and up 6
22 $100 What is the Domain and Range of 3 2 y x 3x 2
23 $100 Domain and Range are both All Reals
24 $200 What are the zeros of the function? 3 2 y x 3x 2
25 $200 (-.73, 0), (1, 0), (2.73, 0)
26 $300 Where are the maximum and minimum values of the function? 3 2 y x 3x 2
27 $300 (0, 2) and (2, -2)
28 $400 Where is the function increasing and decreasing? 3 2 y x 3x 2
29 $400 Increasing: Decreasing: (,0), 2, 0,2
30 $500 Is the function one to one? Why or why not? 3 2 y x 3x 2
31 $500 No, fails HLT.
32 $100 What is the equation for the graph shown below.
33 $100 y x
34 $200 Evaluate: 3 g( x) 7 x 4 6 for g 2
35 $200-29
36 $300 Evaluate for h(-1) hx ( ) x 2x 1, x 1 2 2, x 1
37 $300-1
38 $400 f( x) Graph: 5x 3, x 1 4x 2, x 1
39 $400
40 $500 Using the model below, find the average rate of change from f(2) to f(12). 4 2 f ( x).004 x.46x 431.6, 2 x 12
41 $
42 $100 Find the inverse of 1 f x x 2 3
43 $100 1 f x 2x 6
44 $200 Is the function one-to-one and has an inverse function? ht () t 2 3
45 $200 Yes, the function has an inverse.
46 $300 Given: 1 f x x 3 and g x 3x 1 3 Find, f g and g f
47 $300 f g x g f x 8 3 8
48 $400 Given: Find: 1 f x x 8 x 3 g x 3 g 1 1 f
49 $ x 3
50 $500 Find two functions, f and g such that f g x h( x) h( x) 3 x 2
51 $500 3 f x x g( x) x 2
52 $100 Assume that y is directly proportional to x. If x = 5 and y = 12, find a linear model that relates y and x.
53 $100 y 12 5 x
54 $200 Use k=2 to complete the table for the inverse variation model y k x 2 X y k x 2
55 $200 X y k x
56 $300 Determine whether the variation model is of the form y kx or y Then find k. X Y k x
57 $300 y 7 10 x
58 $400 Write a sentence using the variation terminology for: Volume of a sphere V 4 r 3 3
59 $400 The volume of a sphere varies directly as the cube of its radius.
60 $500 Find a mathematical model representing the statement and determine the constant of proportionality. y varies inversely as x. (y=3 when x=25)
61 $500 y 75, k 75 x
62 Postal Regulations Final Jeopardy Question
63 A rectangular package to be sent by the US Postal Service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Write the volume, V, of the package as function of x. What is the domain of the function. (must get both parts correct)
64 V 108x 2 4x 3
Writing and Graphing Inequalities
4.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
More informationNeed help? Try or 4.1 Practice Problems
Day Date Assignment (Due the next class meeting) Friday 9/29/17 (A) Monday 10/9/17 (B) 4.1 Operations with polynomials Tuesday 10/10/17 (A) Wednesday 10/11/17 (B) 4.2 Factoring and solving completely Thursday
More informationName: Class: Date: Families Multiple Choice Pre-Test. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: _ Class: _ Date: Families Multiple Choice Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1 For f( x) = 5x + 1, find f( 4). 19 C 21 1 D 21
More informationACTIVITY 14 Continued
015 College Board. All rights reserved. Postal Service Write your answers on notebook paper. Show your work. Lesson 1-1 1. The volume of a rectangular bo is given by the epression V = (10 6w)w, where w
More informationx y x y 15 y is directly proportional to x. a Draw the graph of y against x.
3 8.1 Direct proportion 1 x 2 3 5 10 12 y 6 9 15 30 36 B a Draw the graph of y against x. y 40 30 20 10 0 0 5 10 15 20 x b Write down a rule for y in terms of x.... c Explain why y is directly proportional
More information1,3. f x x f x x. Lim. Lim. Lim. Lim Lim. y 13x b b 10 b So the equation of the tangent line is y 13x
1.5 Topics: The Derivative lutions 1. Use the limit definition of derivative (the one with x in it) to find f x given f x 4x 5x 6 4 x x 5 x x 6 4x 5x 6 f x x f x f x x0 x x0 x xx x x x x x 4 5 6 4 5 6
More informationMATH LESSON 24 EXAMPLE SOLUTIONS OCTOBER 27, 2017
MATH 16020 LESSON 24 EXAMPLE SOLUTIONS OCTOBER 27, 2017 Example 1. We are tasked with constructing a rectangular box with a volume of 64 cubic feet. The material for the top costs 8 dollars per square
More informationRemember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
More informationAlgebra I Notes Relations and Functions Unit 03a
OBJECTIVES: F.IF.A.1 Understand the concept of a function and use function notation. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element
More informationTest 4 also includes review problems from earlier sections so study test reviews 1, 2, and 3 also.
MATD 0370 ELEMENTARY ALGEBRA REVIEW FOR TEST 4 (1.1-10.1, not including 8.2) Test 4 also includes review problems from earlier sections so study test reviews 1, 2, and 3 also. 1. Factor completely: a 2
More informationMath Exam 3 Review
Math 142 Spring 2009 c Heather Ramsey Page 1 Math 142 - Exam 3 Review NOTE: Exam 3 covers sections 5.4-5.6, 6.1, 6.2, 6.4, 6.5, 7.1, and 7.2. This review is intended to highlight the material covered on
More informationChapter 6 Notes, Applied Calculus, Tan
Contents 4.1 Applications of the First Derivative........................... 2 4.1.1 Determining the Intervals Where a Function is Increasing or Decreasing... 2 4.1.2 Local Extrema (Relative Extrema).......................
More informationChapter 3: Inequalities, Lines and Circles, Introduction to Functions
QUIZ AND TEST INFORMATION: The material in this chapter is on Quiz 3 and Exam 2. You should complete at least one attempt of Quiz 3 before taking Exam 2. This material is also on the final exam and used
More informationName: Class: Date: PostAssessment Polynomial Unit. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: _ lass: _ ate: Postssessment Polynomial Unit Multiple hoice Identify the choice that best completes the statement or answers the question. 1 Write the polynomial in standard form. Then name the polynomial
More informationA. B. C. D. Quadratics Practice Test. Question 1. Select the graph of the quadratic function. g (x ) = 1 3 x 2. 3/8/2018 Print Assignment
Question 1. Select the graph of the quadratic function. g (x ) = 1 3 x 2 C. D. https://my.hrw.com/wwtb2/viewer/printall_vs23.html?umk5tfdnj31tcldd29v4nnzkclztk3w8q6wgvr262aca0a5fsymn1tfv8j1vs4qotwclvofjr8xhs0cldd29v4
More informationQuadratic Equations Chapter Questions
Quadratic Equations Chapter Questions 1. Describe the characteristics of a quadratic equation. 2. What are the steps for graphing a quadratic function? 3. How can you determine the number of solutions
More informationChapter 2 Prerequisite Skills BLM Evaluate Functions 1. Given P(x) = x 4 3x 2 + 5x 11, evaluate.
Chapter Prerequisite Skills BLM 1.. Evaluate Functions 1. Given P(x) = x 4 x + 5x 11, evaluate. a) P( ) b) P() c) P( 1) 1 d) P 4 Simplify Expressions. Expand and simplify. a) (x x x + 4)(x 1) + b) (x +
More informationFinal Exam Review Packet
Final Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to scale. 6 8 a.
More informationFunctions & Graphs. Section 1.2
Functions & Graphs Section 1.2 What you will remember Functions Domains and Ranges Viewing and Interpreting Graphs Even Functions and Odd Functions Symmetry Functions Defined in Pieces Absolute Value Functions
More informationYou analyzed parent functions and their families of graphs. (Lesson 1-5)
You analyzed parent functions and their families of graphs. (Lesson 1-5) Graph and analyze power functions. Graph and analyze radical functions, and solve radical equations. power function monomial function
More informationMath 2413 General Review for Calculus Last Updated 02/23/2016
Math 243 General Review for Calculus Last Updated 02/23/206 Find the average velocity of the function over the given interval.. y = 6x 3-5x 2-8, [-8, ] Find the slope of the curve for the given value of
More informationAlgebra II: Chapter 6 Test Review
Class: Date: Algebra II: Chapter 6 Test Review 1. Simplify 8 4 /. 1 2 a. c. 2 b. 8 d. 16 2. Which is equivalent to 81 1/4? a. 9 b. c. 1 9 d. 1. The volume of a sphere can be given by the formula V = 4.18879r.
More informationn th Roots and Rational Exponents (Part I) Read 5.1 Examples 1-3
HW # n th Roots and Rational Exponents (Part I) Read. Examples - Section. s a. Vocabulary Rewrite the expression t in radical form. Then state the index of the radical.. Complete the Sentence For an integer
More informationTest 2 Review Math 1111 College Algebra
Test 2 Review Math 1111 College Algebra 1. Begin by graphing the standard quadratic function f(x) = x 2. Then use transformations of this graph to graph the given function. g(x) = x 2 + 2 *a. b. c. d.
More informationCompleting the Square
5-7 Completing the Square TEKS FOCUS TEKS (4)(F) Solve quadratic and square root equations. TEKS (1)(A) Apply mathematics to problems arising in everyday life, society, and the workplace. Additional TEKS
More information26. LECTURE 26. Objectives
6. LECTURE 6 Objectives I understand the idea behind the Method of Lagrange Multipliers. I can use the method of Lagrange Multipliers to maximize a multivariate function subject to a constraint. Suppose
More informationSection 3.9. The Geometry of Graphs. Difference Equations to Differential Equations
Difference Equations to Differential Equations Section 3.9 The Geometry of Graphs In Section. we discussed the graph of a function y = f(x) in terms of plotting points (x, f(x)) for many different values
More information3. Solve the following inequalities and express your answer in interval notation.
Youngstown State University College Algebra Final Exam Review (Math 50). Find all Real solutions for the following: a) x 2 + 5x = 6 b) 9 x2 x 8 = 0 c) (x 2) 2 = 6 d) 4x = 8 x 2 e) x 2 + 4x = 5 f) 36x 3
More information3.3 Real Zeros of Polynomial Functions
71_00.qxp 12/27/06 1:25 PM Page 276 276 Chapter Polynomial and Rational Functions. Real Zeros of Polynomial Functions Long Division of Polynomials Consider the graph of f x 6x 19x 2 16x 4. Notice in Figure.2
More informationA metal cube of side length 10 cm is melted down and recast as a sphere. Calculate the percentage change in the surface area
CARD 1 A metal cube of side length 10 cm is melted down and recast as a sphere. Calculate the percentage change in the surface area CARD 2 The two shapes have the same perimeter Calculate the difference
More informationWITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5
May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5 NUMBER AND NUMBER SENSE 5.1 The student will a. read, write, and identify the place values
More informationUsing the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles
Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean
More information1. Consider the following graphs and choose the correct name of each function.
Name Date Summary of Functions Comparing Linear, Quadratic, and Exponential Functions - Part 1 Independent Practice 1. Consider the following graphs and choose the correct name of each function. Part A:
More information1.1 Functions. Input (Independent or x) and output (Dependent or y) of a function. Range: Domain: Function Rule. Input. Output.
1.1 Functions Function Function: A rule for a relationship between an input, or independent, quantity and an output, or dependent, quantity in which each input value uniquely determines one output value.
More informationHomework 6. (x 3) 2 + (y 1) 2 = 25. (x 5) 2 + (y + 2) 2 = 49
245 245 Name: Solutions Due Date: Monday May 16th. Homework 6 Directions: Show all work to receive full credit. Solutions always include the work and problems with no work and only answers will receive
More informationKing Fahd University of Petroleum and Minerals Prep-Year Math Program Math (001) - Term 181 Recitation (1.1)
Recitation (1.1) Question 1: Find a point on the y-axis that is equidistant from the points (5, 5) and (1, 1) Question 2: Find the distance between the points P(2 x, 7 x) and Q( 2 x, 4 x) where x 0. Question
More information(MATH 1203, 1204, 1204R)
College Algebra (MATH 1203, 1204, 1204R) Departmental Review Problems For all questions that ask for an approximate answer, round to two decimal places (unless otherwise specified). The most closely related
More informationReview Topics. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Topics MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. On the real number line, label the points with the given coordinates. 1) 11,- 11 1)
More informationMAT Calculus for Engineers I EXAM #3
MAT 65 - Calculus for Engineers I EXAM #3 Instructor: Liu, Hao Honor Statement By signing below you conrm that you have neither given nor received any unauthorized assistance on this exam. This includes
More informationOnline Math 1314 Final Exam Review
Online Math 1314 Final Exam Review 1. The following table of values gives a company s annual profits in millions of dollars. Rescale the data so that the year 2003 corresponds to x = 0. Year 2003 2004
More informationMock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}
Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the
More informationPolynomial Degree Leading Coefficient. Sign of Leading Coefficient
Chapter 1 PRE-TEST REVIEW Polynomial Functions MHF4U Jensen Section 1: 1.1 Power Functions 1) State the degree and the leading coefficient of each polynomial Polynomial Degree Leading Coefficient y = 2x
More informationSECTION 3.1: Quadratic Functions
SECTION 3.: Quadratic Functions Objectives Graph and Analyze Quadratic Functions in Standard and Verte Form Identify the Verte, Ais of Symmetry, and Intercepts of a Quadratic Function Find the Maimum or
More informationMath 1314 Final Exam Review. Year Profits (in millions of dollars)
Math 1314 Final Exam Review 1. The following table of values gives a company s annual profits in millions of dollars. Rescale the data so that the year 2003 corresponds to x = 0. Year 2003 2004 2005 2006
More informationOptimization Problems. By Tuesday J. Johnson
Optimization Problems By Tuesday J. Johnson 1 Suggested Review Topics Algebra skills reviews suggested: None Trigonometric skills reviews suggested: None 2 Applications of Differentiation Optimization
More informationReview Algebra Test
Name: Class: Date: Review Algebra Test.4-2.3 Multiple Choice Identify the choice that best completes the statement or answers the question. Solve the equation.. 5y 9 (y ) a. 2 b. 2 2 c. 2 d. 2 5 Use an
More informationCalifornia 5 th Grade Standards / Excel Math Correlation by Lesson Number
(Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with
More informationRequirements for AP Calculus
AP CALCULUS KLEINKE STYLE 018-019 YOU ARE ABOUT TO EMBARK ON A GREAT JOURNEY THROUGH THE STUDY OF LIMITS, DERIVATIVES, AND INTEGRALS!! WE WILL HIT A FEW SMALL ICEBERGS BUT NOTHING THAT WILL CAUSE USE TO
More informationIn #1 and 2, use inverse operations to solve each equation. 2.
In #1 and 2, use inverse operations to solve each equation. 1. 3x + 12 + 5x = 7 2. 1 (4x + 10) = x 5 2 3. Alex and Alyssa both have savings accounts. Alex has $515 and saves $23 per month. Alyssa has $725
More informationHONORS GEOMETRY SUMMER REVIEW PACKET (2012)
HONORS GEOMETRY SUMMER REVIEW PACKET (01) The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Honors Geometry. Please
More informationWhen combining power functions into a single polynomial function, there are a few new features we like to look for, such as
Section 1.2 Characteristics of Polynomial Functions In section 1.1 we explored Power Functions, a single piece of a polynomial function. This modelling method works perfectly for simple real world problems
More informationFind all points where the function is discontinuous. 1) Find all vertical asymptotes of the given function. x(x - 1) 2) f(x) =
Math 90 Final Review Find all points where the function is discontinuous. ) Find all vertical asymptotes of the given function. x(x - ) 2) f(x) = x3 + 4x Provide an appropriate response. 3) If x 3 f(x)
More information, g : x x 6, Sketch, in a single diagram, the graphs of y = f(x) and y = f -1 (x), making clear the
PAST QUESTION ON FUNCTIONS 1. Express x + 4x in the form (x + a) + b, stating the numerical values of a and b. The functions f and g are defined as follows : f : x x 4x, x, g : x x 6, x R (ii) (iii) Show
More informationb) Write the contrapositive of this given statement: If I finish ALEKS, then I get points.
Math 141 Name: QUIZ 1A (CHAPTER 0: PRELIMINARY TOPICS) MATH 141 SPRING 2019 KUNIYUKI 90 POINTS TOTAL No notes or books allowed. A scientific calculator is allowed. Simplify as appropriate. Check one: Can
More informationMATH 1241 FINAL EXAM FALL 2012 Part I, No Calculators Allowed
MATH 11 FINAL EXAM FALL 01 Part I, No Calculators Allowed 1. Evaluate the limit: lim x x x + x 1. (a) 0 (b) 0.5 0.5 1 Does not exist. Which of the following is the derivative of g(x) = x cos(3x + 1)? (a)
More informationMATH 2053 Calculus I Review for the Final Exam
MATH 05 Calculus I Review for the Final Exam (x+ x) 9 x 9 1. Find the limit: lim x 0. x. Find the limit: lim x + x x (x ).. Find lim x (x 5) = L, find such that f(x) L < 0.01 whenever 0 < x
More informationKansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators.
More informationAP Calculus BC Summer Assignment
AP Calculus BC Summer Assignment Edmodo.com: AP Calculus BC 207-208 Group Code: kdw69v Attached is an assignment for students entering AP Calculus BC in the fall. Next year we will focus more on concepts
More informationIntermediate Algebra Final Exam Review
Intermediate Algebra Final Exam Review Note to students: The final exam for MAT10, MAT 11 and MAT1 will consist of 30 multiple-choice questions and a few open-ended questions. The exam itself will cover
More informationMath 1325 Final Exam Review
Math 1325 Final Exam Review 1. The following table of values gives a company s annual profits in millions of dollars. Rescale the data so that the year 2003 corresponds to x = 0. Year 2003 2004 2005 2006
More information15.9. Triple Integrals in Spherical Coordinates. Spherical Coordinates. Spherical Coordinates. Spherical Coordinates. Multiple Integrals
15 Multiple Integrals 15.9 Triple Integrals in Spherical Coordinates Copyright Cengage Learning. All rights reserved. Copyright Cengage Learning. All rights reserved. Triple Integrals in Another useful
More informationSolving Equations. A: Solving One-Variable Equations. One Step x + 6 = 9-3y = 15. Two Step 2a 3 6. Algebra 2 Chapter 1 Notes 1.4 Solving Equations
Algebra 2 Chapter 1 Notes 1.4 Solving Equations 1.4 Solving Equations Topics: Solving Equations Translating Words into Algebra Solving Word Problems A: Solving One-Variable Equations The equations below
More information30S Pre-Calculus Final Exam Review Chapters 1-4
30S Pre-Calculus Final Exam Review Chapters 1 - Name: 30S Pre-Calculus Final Exam Formula Sheet 30S Pre-Calculus Exam Review- Chapter 1 Sequences and Series Multiple Choice Identify the choice that best
More informationModeling and Optimization (Word Problems ALL DAY) Let the first number and = the second number. The boundaries of this problem are [0, 30].
New Calculus 5.4 Modeling and Optimization (Word Problems ALL DAY) The sum of two non-negative numbers is 30. a) Find the numbers if the sum of their squares is as large as possible. b) Find the numbers
More informationExponential Functions:
Exponential Functions: An exponential function has the form f (x) = b x where b is a fixed positive number, called the base. Math 101-Calculus 1 (Sklensky) In-Class Work January 29, 2015 1 / 12 Exponential
More informationMath 261 Exam 3 - Practice Problems. 1. The graph of f is given below. Answer the following questions. (a) Find the intervals where f is increasing:
Math 261 Exam - Practice Problems 1. The graph of f is given below. Answer the following questions. (a) Find the intervals where f is increasing: ( 6, 4), ( 1,1),(,5),(6, ) (b) Find the intervals where
More informationMath 111 Exam 1. Instructions
Math 111 Exam 1 Instructions Please read all of these instructions thoroughly before beginning the exam. This exam has two parts. The first part must be done without the use of a calculator. When you are
More informationCh 7 Summary - POLYNOMIAL FUNCTIONS
Ch 7 Summary - POLYNOMIAL FUNCTIONS 1. An open-top box is to be made by cutting congruent squares of side length x from the corners of a 8.5- by 11-inch sheet of cardboard and bending up the sides. a)
More informationr r 30 y 20y 8 7y x 6x x 5x x 8x m m t 9t 12 n 4n r 17r x 9x m 7m x 7x t t 18 x 2x U3L1 - Review of Distributive Law and Factoring
UL - Review of Distributive Law and Factoring. Expand and simplify. a) (6mn )(-5m 4 n 6 ) b) -6x 4 y 5 z 7 (-x 7 y 4 z) c) (x 4) - (x 5) d) (y 9y + 5) 5(y 4) e) 5(x 4y) (x 5y) + 7 f) 4(a b c) 6(4a + b
More informationSection 2.1. Increasing, Decreasing, and Piecewise Functions; Applications
Section 2.1 Increasing, Decreasing, and Piecewise Functions; Applications Features of Graphs Intervals of Increase and Decrease A function is increasing when the graph goes up as you travel along it from
More informationm2413c2 the limiting process. 4. Use the alternative form of the derivative to find the derivative of the function at. a. b. c. d. e.
m2413c2 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Find the derivative of the following function using the limiting process 2 Find the derivative of
More informationMt. Douglas Secondary
Foundations of Math Section.5 Volume of Similar Figures 47.5 Volume of Similar Figures The cubes shown below are similar. The corresponding sides are in a ratio of :. What is the ratio of the volumes?
More informationDay 1~ 2-1 Relations & Functions
NOTES: Honors Algebra Unit 1: Linear Equations Day 1~ -1 Relations & Functions Part 1: Use the following words to complete the sentences below: Inputs Dependent Range Range Domain Independent Relation
More informationFLC Ch 1-3 (except 1.4, 3.1, 3.2) Sec 1.2: Graphs of Equations in Two Variables; Intercepts, Symmetry
Math 370 Precalculus [Note to Student: Read/Review Sec 1.1: The Distance and Midpoint Formulas] Sec 1.2: Graphs of Equations in Two Variables; Intercepts, Symmetry Defns A graph is said to be symmetric
More informationAnswer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48
Solve each equation. 1. -3x - 9 = -27 2. 25 + 2(n + 2) = 30 3. -9b - 6 = -3b + 48 x = 6 n = 1 / 2 b = -9 4. 5 - (m - 4) = 2m + 3(m - 1) 5. -24-10k = -8(k + 4) - 2k 6. f - (-19) = 11f + 23-20f m = 2 no
More informationChapter 2: Rocket Launch
Chapter 2: Rocket Launch Lesson 2.1.1. 2-1. Domain:!" # x # " Range: 2! y! " y-intercept! y = 2 no x-intercepts 2-2. a. Time Hours sitting Amount Earned 8PM 1 $4 9PM 2 $4*2hrs = $8 10PM 3 $4*3hrs = $12
More informationAlgebra I EOC Review (Part 2)
1. Let x = total miles the car can travel Answer: x 22 = 18 or x 18 = 22 2. A = 1 2 ah 1 2 bh A = 1 h(a b) 2 2A = h(a b) 2A = h a b Note that when solving for a variable that appears more than once, consider
More information2. If the discriminant of a quadratic equation is zero, then there (A) are 2 imaginary roots (B) is 1 rational root
Academic Algebra II 1 st Semester Exam Mr. Pleacher Name I. Multiple Choice 1. Which is the solution of x 1 3x + 7? (A) x -4 (B) x 4 (C) x -4 (D) x 4. If the discriminant of a quadratic equation is zero,
More information3. The equation ( p 2) x = x has a solution x = 2. It has one more positive solution. What is it?
208 Mad Hatter A. The system with unknowns x and y ax +2y = 5 2x by = 0 has infinitely many solutions. Find the value of a + b. 2. If p n 3 + n 3 + n 3 + n 3 + n 3 =25,whatisn? 3. The equation ( p 2) x
More informationSemester 1 Review. Name. Period
P A (Calculus )dx Semester Review Name Period Directions: Solve the following problems. Show work when necessary. Put the best answer in the blank provided, if appropriate.. Let y = g(x) be a function
More informationThe point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, 2) B) (8, 2) C) ( 2, 8) D) (2, 8) E) ( 2, 8)
Name: Date: 1. Find the coordinates of the point. The point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, ) B) (8, ) C) (, 8) D) (, 8) E) (, 8). Find the coordinates
More informationB) Increasing on (-1, ); Decreasing on (-, -1) C) Increasing on (-, -1); Decreasing on (-1, ) D) Increasing on (-, 1); Decreasing on (1, ) 2) 2)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the intervals on which the function is increasing, decreasing, and constant. 1) 1) Increasing
More informationD) Increasing on (-1, ); Decreasing on (-, -1) B) Increasing on (-, -1); Decreasing on (-1, ) C) Increasing on (-, 1); Decreasing on (1, ) 2) 2)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the intervals on which the function is increasing, decreasing, and constant. 1) 1) Increasing
More informationPre-Calculus: Functions and Their Properties (Solving equations algebraically and graphically, matching graphs, tables, and equations, and
Pre-Calculus: 1.1 1.2 Functions and Their Properties (Solving equations algebraically and graphically, matching graphs, tables, and equations, and finding the domain, range, VA, HA, etc.). Name: Date:
More information5.1 Practice A. Name Date ( ) 23 15, , x = 20. ( ) 2
Name Date. Practice A In Exercises, find the indicated real nth root(s) of a.. n =, a =. n =, a = 9. n =, a = 8 In Exercises 9, evaluate the expression without using a calculator.. 7. 6 8. ( ) 7. 6 6.
More informationChapter 3A -- Rectangular Coordinate System
Fry Texas A&M University! Fall 2016! Math 150 Notes! Section 3A! Page61 Chapter 3A -- Rectangular Coordinate System A is any set of ordered pairs of real numbers. A relation can be finite: {(-3, 1), (-3,
More informationAdditional Practice Lessons 2.02 and 2.03
Additional Practice Lessons 2.02 and 2.03 1. There are two numbers n that satisfy the following equations. Find both numbers. a. n(n 1) 306 b. n(n 1) 462 c. (n 1)(n) 182 2. The following function is defined
More informationMath 60 PRACTICE Exam 2 Part I: No Calculator
Name: This practice exam covers questions from sections 2.7, 2.8, and 3. 3.5. Math 60 PRACTICE Exam 2 Part I: No Calculator Show all your work so that: someone who wanted to know how you found your answer
More informationCP Algebra 2 Midterm Review Multiple Choice (40 questions)
CP Algebra 2 Midterm Review Multiple Choice (40 questions) Evaluate each expression if r = -1, n = 3, t = 12, and w = 1 2. 1. w[t + (t r)] 2. 9r 2 + (n 2 1)t Solve each equation. Check your solution. 3.
More informationLinear Equations and Functions
Linear Equations and Functions Finding the Slope and Equation of a Line. ans-00-0.... x y y x b c c b Finding Slope.... undefined. 6. - 7. - 8. 0 9. 0. undefined.. 6... 6. (, -) Finding the Equation of
More information1) Explain in complete sentences how to solve the following equation using the factoring method. Y=7x
TEST 13 REVIEW Quadratics 1) Explain in complete sentences how to solve the following equation using the factoring method. Y=7x 2 +28. 2) Find the domain and range if the points in the table are discrete
More informationTexas Success Initiative Sample Questions
013 Te College Board. College Board, ACCUPLACER and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Visit the
More informationWebAssign hw1.1 (Homework)
WebAssign hw1.1 (Homework) Current Score : / 71 Due : Wednesday, May 31 2017 07:25 AM PDT Michael Lee Math261(Calculus I), section 1049, Spring 2017 Instructor: Michael Lee 1. /1 pointsscalc8 1.1.002.
More informationWriting and Graphing Inequalities
.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
More informationSection 2.1 Objective 1: Determine If a Number Is a Solution of an Equation Video Length 5:19. Definition A in is an equation that can be
Section 2.1 Video Guide Linear Equations: The Addition and Multiplication Properties of Equality Objectives: 1. Determine If a Number Is a Solution of an Equation 2. Use the Addition Property of Equality
More information2007 AP Calculus AB Free-Response Questions Section II, Part A (45 minutes) # of questions: 3 A graphing calculator may be used for this part
2007 AP Calculus AB Free-Response Questions Section II, Part A (45 minutes) # of questions: 3 A graphing calculator may be used for this part 1. Let R be the region in the first and second quadrants bounded
More informationHigher Portfolio Quadratics and Polynomials
Higher Portfolio Quadratics and Polynomials Higher 5. Quadratics and Polynomials Section A - Revision Section This section will help you revise previous learning which is required in this topic R1 I have
More informationMath 611b Assignment #6 Name. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 611b Assignment #6 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find a formula for the function graphed. 1) 1) A) f(x) = 5 + x, x < -
More informationConsider the expression 3n 2 + n + 2. a. What is the coefficient of n? b. What terms are being added in the expression?
1 2 Consider the expression 3n 2 + n + 2 a. What is the coefficient of n? b. What terms are being added in the expression? 3 4 5 6 What is a common factor for the expression 24x 2 + 16x + 144? a. 16 b.
More informationTransformation of functions
Transformation of functions Translations Dilations (from the x axis) Dilations (from the y axis) Reflections (in the x axis) Reflections (in the y axis) Summary Applying transformations Finding equations
More information