SOLUTION: What is the period of This function shown below? https://i.imgsafe.org/d78dc34540.png Ty

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Question 1040234: What is the period of This function shown below?
https://i.imgsafe.org/d78dc34540.png
Ty

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
.
[The leftmost x-coordinate is -3pi%2F2 and the rightmost
x-coordinate is 3pi%2F2.  They are partly cut off in
the picture above.]


The period of a function is the distance along the x-axis
from the beginning of a figure until it starts repeating 
same figure

The round hump figure starts at -3pi%2F2 and ends (and
starts over at -pi. That's a distance along the x-axis
of -pi-%28-3pi%2F2%29 = -pi%2B3pi%2F2 = -2pi%2F2%2B3pi%2F2 = pi%2F2
So its period is pi%2F2.

You can always get the period by subtracting the x-coordinate
at the beginning of any repeating figure from the x-coordinate
at the end of the repeating figure.

You could also get the period from the beginning and end of the
second round hump figure:

-pi%2F2-%28-pi%29 = -pi%2F2%2Bpi = -pi%2F2%2B2pi%2F2 = pi%2F2

or from the beginning and end of the third hump:

0-%28-pi%2F2%29 = 0%2Bpi%2F2 = pi%2F2

or from the fourth hump

pi%2F2-0 = pi%2F2   <--the easiest way to find the period!

or the fifth or sixth hump.

Edwin