To sketch: the period of the given function.
Explanation of Solution
Given information:
Given function is
Calculation:
The vertical asymptotes for
So for the given equation, let us we find out the values of the two consecutive asymptotes.
On comparing we get,
Also,
Therefore, the two consecutive asymptotes occur at
Next, we calculate the values of
For example,
Substituting
We get,
Similarly, we calculate other values of
0 | |||||
Not defined | Not defined |
Now using these values, let us plot the graph from
The above graph represents the equation
Thus, the correct option is (e) and the period of the given function is
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
- 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