Answer:
[tex]y=\tan \frac{1}{2} \pi[/tex]
Step-by-step explanation:
The given graph has a period of [tex]2\pi[/tex], because the graph repeats after every [tex]2\pi[/tex] units.
The formula for finding the period of a tangent function is
[tex]T=\frac{\pi}{b}[/tex]
We substitute the period to get;
[tex]2\pi=\frac{\pi}{b}[/tex]
This implies that;
[tex]b=\frac{\pi}{2\pi}[/tex]
Therefore[tex]b=\frac{1}{2}[/tex]
Hence the function represented by the graph is
[tex]y=\tan \frac{1}{2} \pi[/tex]
