The function is .
(Add and subtract numerator by
)
(Write separate terms)
(Cancel common terms)
(Set the denominator equal to zero)
(Add
to each side)
(Apply additive inverse property:
)
(Apply square root on each side)
(Cancel root and square terms)
(Substitute:
)
Vertical asymptote: and
.
Horizontal asymptote: .
Make the table values of the points.
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Graph:
\Graph the function :
Plot the points and draw the asympotes at ,
and
.
Vertical asymptote: and
.
Horizontal asymptote:
Graph of the function is
.