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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 5e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 1.1 - Problem 5e

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# Which statement about a function is true (i) For each

ISBN: 9780321570567 2

## Solution for problem 5E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 5E

Which statement about a function is true? (i) For each value of x in the domain, there corresponds one value of y; (ii) for each value of y in the range, there corresponds one value of x. Explain.

Step-by-Step Solution:

Step-by-step solution Step 1 of 1 Two given statements: (i) For each value of the x in the domain, there corresponding one value of y; (ii) For each value of the y in the range, there corresponding one value of x; First one is the correct according to the definition of the function: A function is a rule that for each value of the independent variable in the domain, a unique value if the dependent variable in the range. So if for one value in domain we have more than one value in the range, the relation is not a function. We conclude that for each value of the independent variable (x) in the domain, a unique or only a single value of dependent variable (y) but vice versa is not true. If more than one value of x in domain correspond to one value of f(x) in the range, the relation is a function.

Step 2 of 1

##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 5E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Which statement about a function is true? (i) For each value of x in the domain, there corresponds one value of y; (ii) for each value of y in the range, there corresponds one value of x. Explain.” is broken down into a number of easy to follow steps, and 38 words. This full solution covers the following key subjects: corresponds, function, explain, domain, range. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 5E from 1.1 chapter was answered, more than 380 students have viewed the full step-by-step answer.

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