The function is .
The graph of is the graph of
is shifted right by a factor of
.
The period of the function is .
Find vertical asymptotes.
\The cosecant function has asymptotes equations: and
.
Hence the vertical asymptotes are
\ and
.
and
Table :
\Construct a table containing -intercepts and intermediate points for
for one period
.
Function | \vertical asymptote | \intermediate point | \vertical asymptote | \intermediate point | \vertical asymptote | \
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Graph:
\1. Draw a coordinate plane.
\2. Plot the coordinate points.
\3. Then sketch the graph of , connecting the points with a smooth curve.
Graph of the function is