The function is .
The graph of is the graph of
is stretched vertically by a factor of
with the phaseshift of
.
The period of the function is .
Substitute .
Find vertical asymptotes.
\Tangent asymptotes equations: and
.
Hence the vertical asymptotes are and
.
Hence one period of the function is .
Table:
\Construct a table for different values of in the interval
.
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Graph:
\1. Draw a coordinate plane.
\2. Plot the points and sketch the asymptotes.
\3.Connect the points with a smooth curve.
\4.Repeat the same pattern for the next cycles.
\.
Graph of the function is
.