
Concept explainers
(a)
Graphing the equation.
(a)

Explanation of Solution
Given information:
Calculation:
Graph of
Graph of
Graph of
Graph of
Conclusion:
The graphs are the modulus function.
(b)
Graphs open up and down
(b)

Answer to Problem 1CB
Explanation of Solution
Given information:
Graphs of the function.
Calculation:
The graph of
Conclusion:
(c)
Effect of a in the direction of graph`s open.
(c)

Answer to Problem 1CB
As the sign of a negative so the the graph will open down and when a is positive so graph will open up.
Explanation of Solution
Given information:
Graph of given equation.
As the sign of a negative so the the graph will open down and when a is positive so graph will open up.
Conclusion:
As the sign of a negative so the the graph will open down and when a is positive so graph will open up.
(d)
To find:Slope of left and right of graph of each branch.
(d)

Answer to Problem 1CB
Slope of
Left branch is:-1 , Right branch is:1
Slope of
Left branch is:-1 , Right branch is:1
Slope of
Left branch is:2 , Right branch is:-2
Slope of
Left branch is:-2 ,Right branch is:2
Explanation of Solution
Given information:
Calculation:
Slope of
Left branch is:-1
Right branch is:1
Slope of
Left branch is:-1
Right branch is:1
Slope of
Left branch is:2
Right branch is:-2
Slope of
Left branch is:-2
Right branch is:2
Conclusion:
Slope of
Left branch is:-1 , Right branch is:1
Slope of
Left branch is:-1 , Right branch is:1
Slope of
Left branch is:2 , Right branch is:-2
Slope of
Left branch is:-2 ,Right branch is:2
(e)
To find:The relation between right slope and left slope.
(e)

Answer to Problem 1CB
The slope of left side is equal to slope of right side but the signs are opposite.
Explanation of Solution
Given information:
The slope of left side is equal to slope of right side but the signs are opposite.
Conclusion:
The slope of left side is equal to slope of right side but the signs are opposite.
Chapter 5 Solutions
High School Math 2011 Algebra 1 Student Companion Grade 8/9
Additional Math Textbook Solutions
Precalculus
A First Course in Probability (10th Edition)
Pre-Algebra Student Edition
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- For each graph below, state whether it represents a function. Graph 1 24y Graph 2 Graph 3 4 2 -8 -6 -4 -2 -2 2 4 6 Function? ○ Yes ○ No ○ Yes ○ No Graph 4 Graph 5 8 Function? Yes No Yes No -2. ○ Yes ○ No Graph 6 4 + 2 4 -8 -6 -4 -2 2 4 6 8 Yes -4++ Noarrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forward
- Solve the problems on the imagearrow_forwardAsked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forward
- The 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forwardYou are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





