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# Let $f(x)=e^{x / 20}(\sin x)$(a) Graph the function $f$ using a viewing rectangle that extends from $-5$ to 5 in both the $x$ - and the $y$ -directions. Note that the resulting graph resembles a sine curve.(b) Change the viewing rectangle so that $x$ extends from 0 to 50 and $y$ extends from $-10$ to $10 .$ Describe what you see. Is the function periodic?(c) Add the graphs of the two functions $y=e^{x / 20}$ and $y=-e^{x / 20}$ to your picture in part (b). Describe what you see.

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##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

So the graph for part eight is right here. You can see that craft and this goes from where accessing will connect you to a 52 win accessible to positive five. And now the graph for part B where it said the X value should be from excessive fortress Europe lexical 50. And we can see that the aptitude is gradually increasing. And now the graph for Park si is right here. So the blue car is y z two e to the power X over 20. And the green card is why is equal to negative, even politics over 20. And what we see is at the crap off either. The power X over 20 sine X is bounded by those two grass.