Make a rough sketch of the graph of each function. Do not use a calculator. Just use the graphs given in Figures 12 and 13 and, if necessary, the transformations of Section 1.3.
48. (a) y = ln(–x)
(b) y = ln |x|
(a)
To sketch: The function
Explanation of Solution
From Figure 13, the graph of the function
Then, draw the graph of
Observe that Figure 2 is obtained from Figure 1 in such a way that it is reflected about the y-axis.
(b)
To sketch: The function
Explanation of Solution
The absolute function
From part (a), identify that the graph of
Thus, the graph
Therefore, the graph of
Observe that Figure 3 is obtained from Figure 1 and Figure 2 in such a way that it is drawn on the same screen.
Chapter 1 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning