Is a square a one-to-one correspondence? (H) Sketch a graph of the function
Using your graph, determine if this function provides a one-to-one correspondence between the real numbers on the x-axis and the real numb ers on the y-axis. If it does give a one-to-one correspondence between the numbers on the two axes, justify your answer using your graph. If not, use your graph to explain why that function is not a one-to-one correspondence. In particular, does every number on the x-axis correspond to exactly one number on the y-axis? Does every number on the y-axis correspond to exactly one number on the x-axis?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Additional Math Textbook Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Finite Mathematics & Its Applications (12th Edition)
Excursions in Modern Mathematics (9th Edition)
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
Mathematics for Elementary Teachers with Activities (5th Edition)
- Use the Vertical Line Test to determine whether the graph represents y as a function of x.arrow_forwardOTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the view of a speaker and those of an audience increase to a point but decrease when the discrepancy becomes too large particular if the communicator is viewed by the audience as having low credibility, Suppose that the degree of change can be approximated by the function D(x)=x4+8x3+80x2 Where x is the discrepancy between the view of the speaker and those of the audience as measure by score on a question-naira. Find the amount of discrepancy the speaker should aim for to maximize the attitude change in the audience. Source: Journal of Personality and Social Psychology.arrow_forwardYOUR TURN Graph f(x)=x3+3x2+9x10.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning