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I need to identify the function whose graph appears in the photo

I Need To Identify The Function Whose Graph Appears In The Photo class=

Sagot :

So,

As we can see, the graph of the function given is a periodic function because it repeats constantly.

This graph has asymptotes (it is not defined) each pi/2 units, so, this graph clearly represents a function based in tan(x).

Now, notice that this graph is a represents a reflection of y=tanx. So, the first change we're going to do is to put a negative sign backwards the function tan(x). This is, y=-tan(x)

Now, notice that this fuction has a period equal to pi/2, and it is out of phase by pi/2 units.

So, this function has the equation:

[tex]y=-\tan (\frac{\pi}{2}x-\frac{\pi}{2})[/tex]

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