The function is .
Step 1: Find the zeros.
\ (Set
)
There is no zeros.
\Step 2: Find the asymptotes.
\Vertical asymptote:
\ (Set
)
(Take square root on each side)
(Cancel square and root terms)
(Simplify)
There is a vertical asymptote at .
The degree of the denominator is greater than the degree of the numerator.
\Thus, horizontal asymptote is .
Thus, the oblique asymptote is the line .
Step 3: Draw the asymptotes:
\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
.