BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 14RE
To determine

To sketch: The graph of the function y=ln(x+1) by using transformation.

Expert Solution

Explanation of Solution

Graph:

The standard graph of the function y=lnx is roughly sketched as shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 14RE , additional homework tip  1

Then, to draw the graph of y=ln(x+1), shift the graph y=lnx one unit to the left. Thus, the graph of y=ln(x+1) is shown below in Figure 2.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1, Problem 14RE , additional homework tip  2

Observe that Figure 2 is obtained from Figure 1 in such a way that it is shifted 1 unit to the left.

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