help understanding how to graph a product function

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to everyone. Please someone help me about graphs of product functions. How to start and how can I graph these type of functions?

e.g. (e^x)sinx

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There are no special tricks for "product functions".

Here's a hint for this particular problem: $\sin$ oscillates back and forth between $\pm 1$, and you know where the maxima and minima a roots are. Then $$ e^x \sin(x) $$ oscillates back and forth between $\pm e^x$.

So start with the graph of the exponential function and sketch in the oscillations.