Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
bartleby

Videos

Textbook Question
Book Icon
Chapter 1.5, Problem 1PT

A function f is one-to-one means:

  1. a) if x1 = x2, then f(x1) = f(x2)
  2. b) if x1x2, then f(x1) = f(x2)
  3. c) if x1x2, then f(x1) = f (x2)
  4. d) if f(x1) ≠ f(x2), then x1x2
Expert Solution & Answer
Check Mark
To determine

The correct option so that the statement “A function f is one-to-one means _______.” is complete.

Answer to Problem 1PT

The correct option is c_.

Explanation of Solution

Result used:

“A function f is one-to-one means that for all x1,x2 in the domain of f, if x1x2, then f(x1)f(x2).”

Description:

Suppose that the function f(x) is one-to-one.

Note that a function is one-to-one if no two elements in the domain of the function correspond to the same element in the range.

Clearly, by the above result, if x1x2, then f(x1)f(x2).

Therefore, the correct option is c_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebraic Complexity with Less Relations; Author: The University of Chicago;https://www.youtube.com/watch?v=ZOKM1JPz650;License: Standard Youtube License
Strassen's Matrix Multiplication - Divide and Conquer - Analysis of Algorithm; Author: Ekeeda;https://www.youtube.com/watch?v=UnpySHwAJsQ;License: Standard YouTube License, CC-BY
Trigonometric Equations with Complex Numbers | Complex Analysis #6; Author: TheMathCoach;https://www.youtube.com/watch?v=zdD8Dab1T2Y;License: Standard YouTube License, CC-BY