
To find:
The domain, vertical asymptote, and x -intercept of the given logarithmic function. Sketch the graph of function.

Answer to Problem 89E
Domain:
Vertical asymptote:
The x -intercept:
Explanation of Solution
Given:
A logarithm function:
Calculation:
We know that logarithmic functions are not defined for negative values. To find domain of our given function, we will set argument of log function greater than 0 as:
Therefore, the domain of our given logarithmic function would be
We know that logarithmic functions are not defined at 0. To find vertical asymptote, we will set argument of logarithmic function equal to 0 as:
Therefore, the given logarithmic function has a vertical asymptote at
To find the x -intercept of our given function, we will set
Therefore, the x- intercept of our given logarithmic function is
Upon graphing our given logarithmic function, we will get our required graph as shown below:
Chapter 3 Solutions
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