
To state: the domain and range of relation. Then determine whether relation is a function, if it is determine if it is one-to-one, onto, both , or neither.

Answer to Problem 62STP
Domain and Range are all real numbers.
The relation is a function.
The function is one-to-one and onto.
Explanation of Solution
Given information:
Formula used:
A function is a relation in which each element of the domain is paired with exactly one element in the range.
One-to −One function: Each element of the domain pairs exactly one unique element of the range.
Onto function: Each element of the range corresponds to an element of the domain.
Vertical−Test: If no vertical line intersects a graph in more than one point, the graph represents a function whereas if vertical line intersects a graph more than one point ,the graph does not represent a function.
Calculation:
According to the question ,
Every real number is the x -coordinate of points showed in graph and every real number is
y -coordinate of points showed in graph.
So, the domain and range are both all real numbers.
The graph passes the vertical test. Therefore, it is a function.
The graph shows the following coordinates:
Every x -value is paired with exactly one unique y -value, and every y -value corresponds to an x -value.
Thus, the function is both one-to-one and onto.
Chapter 2 Solutions
Algebra 2
Additional Math Textbook Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
Pre-Algebra Student Edition
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (4th Edition)
Thinking Mathematically (6th Edition)
- > > > we are hiring Salesforce Admin Location: Remote Key Responsibilities: Administer Salesforce Sales & Revenue Cloud (CPQ & Billing) Configure workflows, validation rules & dashboards Automate processes using Flows & Process Builder Collaborate with Sales, Finance & Marketing teams Manage user roles & security Apply: Hr@forcecraver.comarrow_forwardAnswer this questionarrow_forward1. vector projection. Assume, ER1001 and you know the following: ||||=4, 7=-0.5.7. For each of the following, explicitly compute the value. འབ (a) (b) (c) (d) answer. Explicitly compute ||y7||. Explain your answer. Explicitly compute the cosine similarity of and y. Explain your Explicitly compute (x, y). Explain your answer. Find the projection of onto y and the projection of onto .arrow_forward
- 2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)arrow_forwardPlease type out answerarrow_forwardPlease type out answerarrow_forward
- Please type out answerarrow_forwardUsing f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. Please type out answerarrow_forwardThe function f(x) = log x is transformed to produce g(x) = log (x) – 3. Identify the type of transformation and describe the change. Please type out answerarrow_forward
- Each graph below is the graph of a system of three linear equations in three unknowns of the form Ax = b. Determine whether each system has a solution and, if it does, the number of free variables. A. O free variables ✓ B. no solution C. no solution D. no solution E. 1 free variable F. 1 free variablearrow_forwardSolve the following systems of equations and show all work.y = x2 + 3y = x + 5 Please type out answerarrow_forwardSolve the following system of equations. Show all work and solutions.y = 2x2 + 6x + 1y = −4x2 + 1 Please type out answerarrow_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





