I have the function
\[f(x)=\frac{ \sin(x \pi ) }{ \sin(2x \pi) }\]
which is visually presented in the attached file.
I'm supposed, only by looking at the graph, to decide
* Where in the interval the function is discontinuous?
* Where does the curve have a horizontal tangent?
* Where does the function have local maximum, local minimum?
I can't see these things and would hence appreciate some guidance.

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There are multiple x values then, x=-2.5; x=-1.5; x=-0.5; x=0.5; x=1.5;x=2.5

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