
To find: all horizontal and vertical asymptotes of the function.
Vertical asymptote:
Horizontal asymptote:
Given information:
The function
Calculation:
Graph of
Let
Putting the value of
And
And
Plot the graph:
By inspection of the graph, vertical asymptote is at
Algebraically, the vertical asymptote corresponds to the fact that
excluded from the domain, as that would cause a division by zero.
To demonstrate the horizontal asymptote. Now, it's sufficient to say that, as
Therefore, horizontal asymptote:
Chapter 1 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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