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The range of a cosecant function is (-inifnity symbol, -9] U [5, infinity symbol). The equations of two consecutive asymptotes of the function are x=0 and x=2pi. The function is not a reflection over the x-axis. 

 

What is the equation of this cosecant function? 

 Mar 9, 2020
 #1
avatar+111438 
+1

The  midline  of  this  function  is  y  =  [ -9  + 5 ]  / 2   =  -4/2 =  -2

 

The amplitude of the  function  is abs value ( [-9  -5] /2)  =  abs value (-14/2 )  =abs value (-7)   = 7

 

The period  is  twice as  long as  the regular csc function

 

The equation is

 

y  = 7 csc (x/2)  - 2

 

Here's the graph  :    https://www.desmos.com/calculator/uy4w9njnon

 

 

 

cool cool cool

 Mar 9, 2020
 #2
avatar+30629 
+1

This question was answered here: https://web2.0calc.com/questions/math-please-help_13#r1 

 

Don't repost without referring back to (or checking!) your original post!

 Mar 10, 2020

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