
To calculate: To draw two graphs and explain why each graph is or is not a function.

Answer to Problem 38HP
The set of ordered pairs is a function.
Explanation of Solution
Given information: Two graphs − one that represents a relation that is a function and one that represents a relation that is Not a function.
Formula Used:
Vertical line test: Given a graph, if one draw a vertical line that crosses the graph in more than one place, the relation is not a function, while if the vertical line crosses the graph only at one point, then the relation is a function.
Calculation:
The graph that represent a relation that is a function is as follows:
According to vertical line test, when a vertical line is drawn, it will cross the graph at only one place. Hence the graph is a function
The graph that represent a relation that is NOT a function is as follows:
According to vertical line test, when a vertical line is drawn, it will cross the graph in two places. Hence the graph is not a function
Chapter 8 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Elementary Statistics
Thinking Mathematically (6th Edition)
Algebra and Trigonometry (6th Edition)
A First Course in Probability (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics (13th Edition)
- 5. Consider the following vectors 0.1 3.2 -0-0-0 = 5.4 6.0 = z= 3 0.1 For each of exercises a-e, either compute the desired quantity by hand with work shown or explain why the desired quantity is not defined. (a) 10x (b) 10-27 (c) J+Z (d) (x, y) (e) (x, z)arrow_forwardConsider the graph/network plotted below. 1 6 5 3 Explicitly give (i.e., write down all of the entries) the adjacency matrix A of the graph.arrow_forward. Given the function f: XY (with X and Y as above) defined as f(2) = 2, f(4) = 1, ƒ(6)=3, ƒ(8) = 2, answer the following questions. Justify your answers. (a) [4 points] Is f injective? (b) [4 points] Is f surjective? (c) [2 points] Is f bijective?arrow_forward
- 1. Let 15 -14 A = -10 9 13-12 -8 7 11 15 -14 13 -12 -6 and B = -10 9 -8 7 -6 5 -4 3 -2 E 5 -4 3 -2 1 Explicitly give the values of A2,3, A1,5, and B1,4- Is A a 5 x 3 matrix? Explain your answer. Are A and B (mathematically) equal? Explain your answer.arrow_forwardGiven the following set X = {2, 4, 6, 8} and Y = {1, 2, 3}, explicitly give (e.g., write down the sets with numerical entries) of the outputs of the following requested set operations: (a) [2 points] XUY (Union) (b) [2 points] XY (Intersection) (c) [3 points] X\Y (Difference) (d) [3 points] XAY (Symmetric Difference)arrow_forwardFor what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have: a) one root equal zero b) one root the reciprocal of the other c) roots numerically equal but of opposite signarrow_forward
- 1) Find The inverse The domain of m(x) = tion and of the function The inverse function 3- √x-aarrow_forwardGraph the following function. Please also graph the asymptote. Thank you.arrow_forwardFile Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014arrow_forward
- The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.arrow_forwarda) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385arrow_forwardI write with prove one-to-one linear Sanction but not onto Lexample.) b) write with Prove on to linear function but not oh-to-on (example). c) write with prove example x=y St Xandy two linear space over Sielad F.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





