The function is .
Step 1: Find the zeros.
\ (Set
)
(Add
to each side)
(Apply additive inverse property:
)
(Take fourth root on each side)
(Simplify)
There is a zero at .
Step 2: Draw the asymptotes.
\Find the vertical asymptote.
\ (Set
)
(Add
to each side)
(Apply additive inverse property:
)
(Square root on each side)
(Simplify)
There is a vertical asymptote at and
.
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 .