Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Textbook Question
Chapter 1.5, Problem 1PT
A function f is one-to-one means:
- a) if x1 = x2, then f(x1) = f(x2)
- b) if x1 ≠ x2, then f(x1) = f(x2)
- c) if x1 ≠ x2, then f(x1) = f (x2)
- d) if f(x1) ≠ f(x2), then x1 ≠ x2
Expert Solution & Answer
To determine
The correct option so that the statement “A function f is one-to-one means
Answer to Problem 1PT
The correct option is
Explanation of Solution
Result used:
“A function f is one-to-one means that for all
Description:
Suppose that the function
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
Therefore, the correct option is
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Chapter 1 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 1.1 - True or False: x2 + 6x + 2y = 1 defines y as a...Ch. 1.1 - Prob. 2PTCh. 1.1 - The implied domain of is:
(1, ∞)
(−∞, 1)
x ≠...Ch. 1.1 - Prob. 4PTCh. 1.1 - Prob. 5PTCh. 1.1 - Prob. 6PTCh. 1.2 - Prob. 1PTCh. 1.2 - Prob. 2PTCh. 1.2 - Prob. 3PTCh. 1.2 - Prob. 4PT
Ch. 1.3 - Prob. 1PTCh. 1.3 - Prob. 2PTCh. 1.3 - Prob. 3PTCh. 1.3 - Prob. 4PTCh. 1.3 - Prob. 5PTCh. 1.3 - Prob. 6PTCh. 1.3 - Prob. 7PTCh. 1.4 - Prob. 1PTCh. 1.4 - A mosquito population of 100 grows to 500 after...Ch. 1.4 - Prob. 3PTCh. 1.4 - Prob. 4PTCh. 1.5 - A function f is one-to-one means:
if x1 = x2, then...Ch. 1.5 - Prob. 2PTCh. 1.5 - Prob. 3PTCh. 1.5 - Prob. 4PTCh. 1.5 - Prob. 5PTCh. 1.5 - True or False:
ln(a + b) = ln a + ln b.
Ch. 1.5 - Prob. 7PTCh. 1.5 - Prob. 8PTCh. 1.5 - Prob. 9PT
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