Question

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

Answer 1

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:

`y=-\tan ((\pi)/(2)x-(\pi)/(2))`