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| PAGE: 582 | SET: Exercises | PROBLEM: 8 |
The function is 
.
Step 1: Find the zeros.
(Set 
)
(Simplify)
There is a zero at 
.
Step 2: Draw the asymptotes.
Find the vertical asymptote.
(Set 
)
(Subtract 
from each side)
(Apply additive inverse property: 
)
(Divide each side by 
)
(Cancel common terms)
There is a vertical asymptote at 
.
The degree of the numerator is greater than the degree of the denominator.
Thus, there is no horizontal asymptote.
Step 3: Draw the graph:
Make a table of values.
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Graph:
Graph the function .
Plot the points obtained in the table.
Graph of the function 
is
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