Question 1040767
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<pre>
The term "midline for the function" is not defined in math and is never used in math.

You are the first person in the world who uses it.
</pre>


<U>Comment from student</U>: Wtf? I asked "What is the equation of the midline for this function? Of course "midline for the function" is not a term. 
I was asking what the midline for the specific function I listed was. 
"The equation of the midline of periodic function is the average of the maximum and minimum values of the function." 
(http://www.icoachmath.com/math_dictionary/midline.html)



<U>My responce</U>: Thank you for your comment.
It means that you are not the first . . .  (I was wrong in that sense).

Then the answer is "In this case midline is y = 3".


See the plot below.

<TABLE> 
  <TR>
  <TD> 

{{{graph( 330, 330, -10.5, 10.5, -10.5, 10.5,
          3/(cos(x - 2)) + 3
)}}}


<B>Figure</B>. Plot y = 3sec (&#920; - 2) + 3

  </TD>
  </TR>
</TABLE>

Let me continue.

The next phrase in that page you refer to, is


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;"More About Midline
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The equation of the midline of periodic function is the average of the maximum and minimum values of the function"


Thus the value y = 3 is exactly in half way between {{{-infinity}}} and {{{infinity}}} that are the minimum and the maximum in your case.


In my view, the entire page and all their definitions are nonsence.


Excuse me for these explanations.
And have a nice afternoon.