Concept explainers
a.
To graph:
The given function using a graphing utility.
a.
Answer to Problem 107E
The graph of our given function would be:
Explanation of Solution
Given:
A function:
Calculation:
Upon graphing the given functionusing a graphing utility, we will get our required graph as shown below:
b.
To find:
The domain of the given function.
b.
Answer to Problem 107E
The domain of our given logarithmic function would be
Explanation of Solution
Given:
A function:
Calculation:
We know that logarithmic functions are not defined for negative values and radical functions are defined for non-negative numbers. To find domain of our given function, we will set argument of radical function greater than or equal to 0 as:
Therefore, the domain of our given logarithmic function would be or
c.
To find:
Open intervals on which the given function is increasing and decreasing using the graph of function.
c.
Answer to Problem 107E
The function is increasing on interval
Explanation of Solution
Given:
A function:
Calculation:
Upon looking at graph of our given function, we can see that the given function never decreases. The function is increasing from 1 to positive infinity.
Therefore, the function is increasing on interval
d.
To approximate:
The
d.
Answer to Problem 107E
The relative minimum of the given function is
Explanation of Solution
Given:
A function:
Calculation:
We can see from our given graph that there is no maximum value for our given function.
We can see that the minimum value of our given function occurs at that is
Therefore, the relative minimum of the given function is
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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