Concept explainers
a.
To find : the domain of the function
a.
Answer to Problem 26E
The domain is any real number
Explanation of Solution
Given information : The function is
Calculation :
This means it has no real zeroes. The denominator is never
b.
To state : the function is continuous
b.
Answer to Problem 26E
The function is continuous
Explanation of Solution
Given information : The function is
The function is defined for all real number so, the function continuous
c.
To identify : the horizontal and vertical asymptote and also verify the answer of part(a) by using the graphing utility and numerically
c.
Answer to Problem 26E
There is no vertical asymptote and the horizontal asymptote is
Explanation of Solution
Given information : The function is
Calculation :
There is no vertical asymptote for the reason which is provided in part (a)
The degree of the numerator and denominator are the same. There is a horizontal asymptote
-20 | 3.0874 |
-15 | 3.0868 |
-10 | 3.0404 |
-5 | 2.6207 |
0 | 0.1111 |
5 | 1.9487 |
10 | 2.5294 |
15 | 2.749 |
20 | 2.7995 |
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press
The graph is obtained as:
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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