Unit 6, Activity 1, Graphs of the Four Remaining Functions with Answers
Blackline Masters, Advanced
Math

PreCalculus
Page
Louisiana Comprehensive Curriculum, Revised 2008
182
Use graph paper to sketch the graphs of the functions below over two periods. Be sure the
axes are scaled properly and carefully labeled. For each graph find
1.
the period
2.
the phase shift
3.
the asymptotes
4.
location and value of the maximum points if any
5.
location and value of the minimum points if any
6.
any x and yintercepts? If so, where?
7.
verify your sketch with a graphing calculator
1.
y
= csc2
x The period is
π
. There is no phase shift. The vertical asymptotes are x = 0,
x
=
π
2
in the first period, and x =
π
and x =
3
2
π
in the second period. The minimums
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 Fall '08
 GERMAN
 Calculus, PreCalculus, Graph Theory, Phase Shift, maximum points

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