The function is .
Step 1: Find the zeros.
\ (Set
)
There is zero at .
Step 2: Find the asymptotes.
\Vertical asymptote:
\ (Set
)
(Subtract
from each side)
(Apply additive inverse property:
)
There is a vertical asymptote at .
The degree of the numerator equal to the degree of the denominator.
\The difference between the degree of the numerator and the degree of the denominator is .
Thus there is an oblique asymptote.
\The equation of the asymptote is the quotient excluding any remainder.
\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