Answer The graph of the equation y = log 2 ( x + 1 ) is shown in Figure (1), the domain is ( − 1 , ∞ ) and the range is ( − ∞ , ∞ ) . Explanation Given information: The equation is y = log 2 ( x + 1 ) . Calculation: Draw the graph of the function y = log 2 ( x + 1 ) as follows: Figure (1) The function is defined for x > − 1 . So, the domain of the function is ( − 1 , ∞ ) . The equation y = log 2 ( x + 1 ) gives real value for any real number. So, the range of the function is ( − ∞ , ∞ ) . Therefore, the graph of the equation y = log 2 ( x + 1 ) is shown in Figure (1), the domain is ( − 1 , ∞ ) and range is ( − ∞ , ∞ ) .

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 1.5, Problem 41E

To determine

To evaluate: The graph of the equation y=log2(x+1) . Also, write the domain and the range of the function.

Expert Solution & Answer

Answer to Problem 41E

The graph of the equation y=log2(x+1) is shown in Figure (1), the domain is (−1,∞) and the range is (−∞,∞) .

Explanation of Solution

Given information: The equation is y=log2(x+1) .

Calculation:

Draw the graph of the function y=log2(x+1) as follows:

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy), Chapter 1.5, Problem 41E

Figure (1)

The function is defined for x>−1 . So, the domain of the function is (−1,∞) .

The equation y=log2(x+1) gives real value for any real number. So, the range of the function is (−∞,∞) .

Therefore, the graph of the equation y=log2(x+1) is shown in Figure (1), the domain is (−1,∞) and range is (−∞,∞) .

Chapter 1.5, Problem 40E

Chapter 1.5, Problem 42E

Chapter 1 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 1.1 - Prob. 1QR Ch. 1.1 - Prob. 2QR Ch. 1.1 - Prob. 3QR Ch. 1.1 - Prob. 4QR Ch. 1.1 - Prob. 5QR Ch. 1.1 - Prob. 6QR Ch. 1.1 - Prob. 7QR Ch. 1.1 - Prob. 8QR Ch. 1.1 - Prob. 9QR Ch. 1.1 - Prob. 10QR

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The graph of the equation y = log 2 ( x + 1 ) . Also, write the domain and the range of the function.

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To evaluate: The graph of the equation y=log2(x+1) . Also, write the domain and the range of the function.

Answer to Problem 41E

Explanation of Solution

Chapter 1 Solutions

Additional Math Textbook Solutions