Question 1087366
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The largest that sin(x) can get is 1. So the max of f(x)=2*<font color=blue>sin(x)</font>-1 is f(x)=2*<font color=blue>1</font>-1=1
The smallest that sin(x) can get is -1. So the min of f(x)=2*<font color=blue>sin(x)</font>-1 is f(x)=2*<font color=blue>(-1)</font>-1=-3
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In summary:
Max = 1
Min = -3
Which is confirmed by the graph below
<img src="https://image.prntscr.com/image/HJcwW2SNSw2XudhBBqKOiQ.png">
Take note that each "mountain" peaks as high as y = 1, and each "valley" bottoms out as low as y = -3. The up and down pattern you see is repeated forever in both directions along the x axis.


Graph generated by <a href = "https://www.geogebra.org/home?ggbLang=en">GeoGebra</a> (free graphing software).
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